Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1182830: The positive value of k which will make
4x2 - 4kx + 4k + 5 = 0 a perfect square trinomial is _____.

-- Please help me..
Click here to see answer by MathTherapy(10551) About Me 
Question 1182855: The nature of the roots of the equation 3x^4 + 4x^3 + x - 1 = 0 is _____.
A. Three positive real roots and one negative real root.
B. Three negative real roots and one positive real root.
C. One negative real root and three complex roots.
D. One positive real root, one negative real root and two complex roots.

--> Please help me on answering the correct nature of the roots on the equation and correct steps of doing it. Thank you so much!
Click here to see answer by MathLover1(20849) About Me 
Question 1182855: The nature of the roots of the equation 3x^4 + 4x^3 + x - 1 = 0 is _____.
A. Three positive real roots and one negative real root.
B. Three negative real roots and one positive real root.
C. One negative real root and three complex roots.
D. One positive real root, one negative real root and two complex roots.

--> Please help me on answering the correct nature of the roots on the equation and correct steps of doing it. Thank you so much!
Click here to see answer by greenestamps(13198) About Me 
Question 1182861: Three techniques to graph quadratic relations include: graphing with a table of values, graphing using x-intercepts and graphing using vertex form. Discuss the benefits and drawbacks of each graphing technique. Explanations, diagrams, examples, formulas and mathematical terminology should all be included in your solution. Be thorough!
Click here to see answer by ikleyn(52776) About Me 
Question 1183003: Write the standard form of the quadratic function with a vertex of (-3, 5)
that passes through the point (0, 3).
Click here to see answer by josgarithmetic(39616) About Me 
Question 1183002: A rectangular pool is to be built on a lot that measures 20 m by 12 m. A wooden deck of uniform width, equal to the area of the pool, must surround it. How wide is the strip of the deck? What are the length and width of the pool?
Click here to see answer by josgarithmetic(39616) About Me 
Question 1183032: the profit of an amusement park is modeled by p(x)=-25x+950x+3000, where 'x' is the cost of a ticket in dollars. according to the model, what should the park charge per ticket to make maximum profit
Click here to see answer by ikleyn(52776) About Me 
Question 1183034: for what value(s) of 'n' does the function f(x)=16x^2-8x+n have exactly one zero?
Click here to see answer by ikleyn(52776) About Me 
Question 1183079: Is my answer correct? Please correct me if I am wrong.
https://imgur.com/a/wxSPCZt
Click here to see answer by ikleyn(52776) About Me 
Question 1183140: 3a^3sqrt81a/3^-2a+5^3sqrt3a/a-2sqrt3a/a
Click here to see answer by Solver92311(821) About Me 
Question 1183141: Simplify with no fractional or negative exponents. Can you please show me step to step. I am very confused on how to complete this problem. Thank you in advance!!
3a^3sqrt81a/3^-2a+5^3sqrt3a/a-2sqrt3a/a


Click here to see answer by ikleyn(52776) About Me 
Question 1183338: 1. Use your virtual Algebra tiles. Make a square using one or more of each of the following types of tiles.
x2-tile
x-tile
1-tile
Describe the area of your square using an algebraic expression.


2. Use the information about Al-Khwarizmi on page 504 to explain how ancient mathematicians used squares to solve algebraic equations. Include an explanation of Al-Khwarizmi’s drawings for: x%5E2%2B8x=35 and a step-by-step algebraic solution with justification for each step of the equation.

Click here to see answer by Alan3354(69443) About Me 
Question 1183487: please help me solve this question?
Consider the function f(x) = -x2 + 3x - 1. Find the equation of
the tangent to the graph of f(x) at x = 2. [NOTE: when calculating f'(2), use
first principles.]
Click here to see answer by MathLover1(20849) About Me 
Question 1183641: If 1/4 and -7/2 are the roots of the quadratic equation Ax2+By+C=0, what is the value of B.
Click here to see answer by Boreal(15235) About Me 
Question 1183641: If 1/4 and -7/2 are the roots of the quadratic equation Ax2+By+C=0, what is the value of B.
Click here to see answer by ikleyn(52776) About Me 
Question 1183630: A marketing manager for a publishing company has a 6 foot by 8 foot banner to be used when setting up booths at educational conferences. She decides add more zing to the booth by increasing the square footage by 50%, and plans to accomplish this by increasing each of the dimensions by the same amount. What will the new dimensions be?
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1183630: A marketing manager for a publishing company has a 6 foot by 8 foot banner to be used when setting up booths at educational conferences. She decides add more zing to the booth by increasing the square footage by 50%, and plans to accomplish this by increasing each of the dimensions by the same amount. What will the new dimensions be?
Click here to see answer by ikleyn(52776) About Me 
Question 1183642: An urban hospital is adding one new nurse practitioner and one new registered nurse to the staff each month. There are five more RNs than LPNs right now, and the product of the total number of each is three times what it was 5 months ago. How many LPNs are on staff right now?
Click here to see answer by ikleyn(52776) About Me 
Question 1181710: A rocket is being launched vertically over a point 𝐴 on the ground with
a velocity of 550 π‘šπ‘–Ξ€β„Žπ‘Ÿ. Twenty five miles away from point 𝐴 on the
ground, there is a photographer video-taping the launch. At what rate
is the angle of elevation of the camera changing when the rocket
achieves an altitude of 25 miles?
Click here to see answer by Alan3354(69443) About Me 
Question 1181710: A rocket is being launched vertically over a point 𝐴 on the ground with
a velocity of 550 π‘šπ‘–Ξ€β„Žπ‘Ÿ. Twenty five miles away from point 𝐴 on the
ground, there is a photographer video-taping the launch. At what rate
is the angle of elevation of the camera changing when the rocket
achieves an altitude of 25 miles?
Click here to see answer by ikleyn(52776) About Me 
Question 1181710: A rocket is being launched vertically over a point 𝐴 on the ground with
a velocity of 550 π‘šπ‘–Ξ€β„Žπ‘Ÿ. Twenty five miles away from point 𝐴 on the
ground, there is a photographer video-taping the launch. At what rate
is the angle of elevation of the camera changing when the rocket
achieves an altitude of 25 miles?
Click here to see answer by Edwin McCravy(20054) About Me 
Question 1183695: Find the value of K for which y=x+k is a tangent to the curve y=xΒ²+5x+2
Click here to see answer by ikleyn(52776) About Me 
Question 1183695: Find the value of K for which y=x+k is a tangent to the curve y=xΒ²+5x+2
Click here to see answer by robertb(5830) About Me 
Question 1183874: Find a quadratic model for each set of values
1. (-1,1) (1,1) (3,9)
Click here to see answer by MathLover1(20849) About Me 
Question 1183874: Find a quadratic model for each set of values
1. (-1,1) (1,1) (3,9)
Click here to see answer by greenestamps(13198) About Me 
Question 1183893: width:2x+1
height:3x
find its area in terms of x
Click here to see answer by josgarithmetic(39616) About Me 
Question 1183884: FInd the quadratic equation each of whose roots is the sum of a root and its reciprocal of the quadratic equation 2x^2 + 3x + 4 = 0.
Click here to see answer by ikleyn(52776) About Me 
Question 1183896: FInd the quadratic equation each of whose roots is the sum of a root and its reciprocal of the quadratic equation 2x^2 + 3x + 4 = 0.
Click here to see answer by ikleyn(52776) About Me 
Question 1183886: Find a quadratic model for the set of values (1,0), (-3,7), (2,5).
Click here to see answer by josgarithmetic(39616) About Me 
Question 1183930: Let ax^2 + bx + c = 0 be a quadratic equation with no real roots and a,b > 0.
Prove that -b/(2a) > H, where H is the harmonic mean of the roots of this quadratic equation.

Click here to see answer by ikleyn(52776) About Me 
Question 1183982: The sum of the angle measures of a quadrilateral is 360 degrees. And the shape is a trapezoid at the bottom corners is 1/2x to the left and 1/2x to the right, and the top corners are both "x" now what is the value of "x". Also what would 1/2x be if you found the value of "x".
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1183981: So the sum of the quadrilateral is 360 degrees. And the shape is a trapezoid and if the bottom two corners is 1/2x and the other is 1/2x now what is the top two corners value ? ( and they are substitute as "x" )
Click here to see answer by ikleyn(52776) About Me 
Question 1184002: Use the quadratic formula to solve xΒ²-4x+13 Show your work. Then describe the solution.
Click here to see answer by ikleyn(52776) About Me 
Question 1184002: Use the quadratic formula to solve xΒ²-4x+13 Show your work. Then describe the solution.
Click here to see answer by josgarithmetic(39616) About Me 
Question 1184036: Factor 6b^2-24b+24=?
The correct answer is 6 (b-2)^2 but can you explain?
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1184036: Factor 6b^2-24b+24=?
The correct answer is 6 (b-2)^2 but can you explain?
Click here to see answer by Theo(13342) About Me 
Question 1184083: The width of a rectangle is 5 feet less than its length. Find the dimensions of the rectangle if the area is 84 square feet.
Click here to see answer by josgarithmetic(39616) About Me 
Question 1184127: For a water balloon launched from a 49-meter overlook with an initial vertical velocity of 24.5 meters per second, the height h in meters as a function of time t in seconds is h=βˆ’4.9t^2+24.5t+49. When will the balloon land and burst?
Click here to see answer by ikleyn(52776) About Me 
Question 1184194: The side of a square is represented by (x + 2) cm and its area is 36 cmΒ². How many centimeters does the side of the square measure? The area of a square is equal to the square of its side
Click here to see answer by ikleyn(52776) About Me 
Question 1184312: What is the co-efficient of +x%5E10+ in the following expressions:
(A) 1 + (1 + x) + (1 + x)^2 + ... + (1 + x)^20
(B) (1 + x)^2 + (1 + x)^3 + (1 + x)^4 + (1 + x)^5 + .... + (1 + x)^10
[Note: Here ^ means power]
Click here to see answer by robertb(5830) About Me 
Question 1184312: What is the co-efficient of +x%5E10+ in the following expressions:
(A) 1 + (1 + x) + (1 + x)^2 + ... + (1 + x)^20
(B) (1 + x)^2 + (1 + x)^3 + (1 + x)^4 + (1 + x)^5 + .... + (1 + x)^10
[Note: Here ^ means power]
Click here to see answer by greenestamps(13198) About Me 
Question 1184416: let f(x) = (x-2)^2+3. write a combination of transformations that result in the original equation.
Click here to see answer by josgarithmetic(39616) About Me 
Question 1184441: Find the resultant if a vector 5 cm, s is subtracted from a vector 20 cm, n
Click here to see answer by ikleyn(52776) About Me 
Question 1184611: Determine whether each equation is quadratic or not. Write Q if the equation is quadratic or N if not before the item number.
1. x ^ 2 = x + 4
2. 3y - 4 = y + 1
3. m - 2m ^ 2 = 1 + m ^ 5
4. A = pi * r ^ 2
Click here to see answer by Edwin McCravy(20054) About Me 
Question 1184612: solve the quadratic equation below using the appropriate method. Show your work or solution.
x ^ 2 - 2x - 8 = 0
Click here to see answer by Theo(13342) About Me 
Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240