Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 763958: Use the quadratic formula to solve the following. Leave irrational roots in the simplest radical form.
2x^2-3x+1=0
ive got so far the last result x=3_+√3*5
------------
4
and then im stuck and confuse.

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Question 763988: can you please help me with this problem???
if an object is thrown vertically upward with an initial velocity v, from an original position of s, the height at any time is given by: h= -16t^2+vt+s (where h and s are in ft, t is in seconds and v is in ft/sec)
if a rock is dropped from the top of a 200ft building, solve for the time that it takes for it to hit the ground (when h=0)
Hint: initial velocity when dropped is 0

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Question 764034: A quadratic equation has a parable that has the roots x = 3 and x = -5. It passes through the point (1, -12). Determine its equation

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Question 764034: A quadratic equation has a parable that has the roots x = 3 and x = -5. It passes through the point (1, -12). Determine its equation

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Question 764112: help please!!! Can you explain this step by step?

if an object is thrown vertically upward with an initial velocity of v, from an original position of s, the height h at any time is given by:
h=-16t^2+vt+s (where h and s are in ft, t is in seconds, and v is in ft/sec)
if a rock is thrown upward from a height of 100ft, with an initial velocity of 32ft/sec, solve for the time that it takes for it to hit the ground. (when h=0)
answer in seconds.

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Question 764114: I was wondering the idea of this kind of equation? i can't seem to wrap my head around it. The root symbol or whatever it is, is throwing me off - since it isn't just simply written as x^2 or something. Could you maybe give me a somewhat simple example equation and label steps please?
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Question 764114: I was wondering the idea of this kind of equation? i can't seem to wrap my head around it. The root symbol or whatever it is, is throwing me off - since it isn't just simply written as x^2 or something. Could you maybe give me a somewhat simple example equation and label steps please?
Click here to see answer by MathLover1(20849) About Me 

Question 764133: PLease help me with this question: An object is launched upward with an initial velocity of 128 ft/sec. The h in feet of the object after t sec is given by h(t)= 16t^2 + 128t. When does the object hit the ground?
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Question 764056: the perimeter of a rectangle is 46 ft. the length is 5 ft longer than the width. find the dimensions. write a system of linear equations and solve the resulting system. let x be the length and y be the width.
write the first equation
2x + 2y = ?
write the second equation.
x = y + ?
what is the length ? ft
what is the width? ? ft

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Question 764336: A missile fired straight up into the air has a height, in feet, given by h = -16 t^2 + 64 t, where t is the time, in seconds, the missile has been in the air.
By setting up and solving an equation, find the times when the missile reaches a height of 48 feet.

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Question 764393: What is the answer for 5x squared minus 16x plus 3 ?
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Question 764333: A rectangular photo of dimensions 7 cm by 8 cm is placed in a picture frame of uniform width on all sides.The resulting total area (picture and frame) is 182 square cm.
What is the width of the picture frame? Set up and solve an equation to answer this question.

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Question 764499: the function f(x) = x^2 + 6x +20 + k(x^2 -3x -12) where k is real
find the value of k and the value of p given that the minimum value of f(x) is p and that f(-2) =p
the answers are 2/7 anf 80/7
i am happy if you just explain to me what to do, even briefly.

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Question 764760: x^2+14x+40=0 find all solutions
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Question 764755: write the quadratic equation whose roots are 3 and -4 and whose leading coefficient is 4.
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Question 764779: Can someone help me with this? I need to Find the minimum y-value on a graph of y=f(x)
F(x)=x^2+8x-1
What is the minimum y-value? Y=

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Question 764779: Can someone help me with this? I need to Find the minimum y-value on a graph of y=f(x)
F(x)=x^2+8x-1
What is the minimum y-value? Y=

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Question 764834: The product of two numbers is 16. Express the sum of the squares of the numbers as a function of x.
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Question 764889: Quadratic Function from y = x + 3 and y = 5x + 2y passes (0, 3) is?
A. Y= ½x² - 2x + 3 B. Y = -½x² + 2x + 3 C. Y= 2x² +½x + 3 D. -2x² + ½x + 3
I don't understand what linear equation has to do with parabola? (I assume (0, 3) is parabola?)
Please help!

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Question 764964: Solve quadratic equation by factoring
6x^2 -9x -42 = 0

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Question 764920: I have an upside down "U" parabola. I have two line segments that cross the parabola at perfectly even slope (y=a and y=b). How can I "fit" those lines into the parabola in a way where I can determine the distance between the line segments. Essentially, a minus b? Thanks!
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Question 764995: X^2 + 7x +12=0
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Question 765005: solve using the square root property
4x^2+1=37
Thank you!!

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Question 765304: Describe the nature of the roots of the equation x^2-4x+4=0, when I worked this problem out I got:
a=1,b=-4,c=4
d=b^2-4ac
d=(-4)^2-4(1)(4)
d=16-16=0
the answer 0 is one real root according to the "nature of the roots"

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Question 765389: Find two numbers whose sum is 76 and whose product is a maximum.
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Question 765389: Find two numbers whose sum is 76 and whose product is a maximum.
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Question 765406: If a screwdriver is dropped from the top of an elevator shaft. Exactly 6.0 seconds later, the sound of the screwdriver hitting bottom is heard. How deep is the shaft?
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Question 765431: Write the quadratic equation for the roots -3,3 and leading coefficent is 3
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Question 765432: how do you solve (3-y)(y+4)=3y-5
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Question 762610: 5x^2-2x-3=15.find x
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Question 765826: The solutions to a quadratic equation are 2/3 and -3/4.
1.
Give two possible factors with integer coefficients that were set equal to 0 to obtain these solutions.
2.
Write a quadratic equation whose solutions are 2/3 and -3/4

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Question 765553: Verify that the quadrilateral with vertices P(-2,2), Q(13,7) and R(5,1) is a trapezoid
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Question 765984: (x-6)^2-9=0
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Question 765984: (x-6)^2-9=0
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Question 765981: x^2+4x+4=0
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Question 765891: interval does increase y=x^4+4x
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Question 765985: 8x^2-3=2x
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Question 765888: interval does increase y=x^2+4x
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Question 765983: 3x^2-7x-5=0
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Question 766122: Give the quadratic equation whose roots are twice as large as the roots of the given equation: ax^2+bx+c=0 a is not equal to 0.
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Question 766122: Give the quadratic equation whose roots are twice as large as the roots of the given equation: ax^2+bx+c=0 a is not equal to 0.
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Question 766161: The hypotenuse of a right-angled triangle is 8 cm long and the perimeter of a triangle is 17 cm. Find the lengths of the other two sides, giving your answer correct to 3 significant figures.

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Question 766190: 4x^2-25x=0 answer x=5/2 or x=-5/2
I continue to try this an come up with 25/4
Then 6.25 can you explain? Thanks

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Question 766193: x+16/x=8

Find the roots (values of x when the expression is equal to zero) using factoring. Prove your answers are correct by checking, or showing that the values of x you computed satisfy the original equation.
- 8 from both sides x-8+16/x=0 to get rid of fraction
x^2-8x+16=0
x=4

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Question 766217: 3x^2+21x=0
SOLVING QUADRATIC EQUATIONS BY FACTORING

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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