Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 769037: u+1/8= 7
solve u
Click here to see answer by josmiceli(19441)

Question 769176: Find the inverse of the function f(x) = 3x2 + 2.
Click here to see answer by Jc0110(165)

Question 769360: I'm having a hard time solving this: use square root property to solve equation if possible 9(t-7)2-18=0 (the 2 is squared)
Click here to see answer by fcabanski(1391)

Question 769373: X/a - 2x = c
Click here to see answer by tommyt3rd(5050)

Question 769550: use the discriminant to determine the number of points of intersection on the line y= 3x +5 and the quadratic function f(x) = 3x^2 -2x-4
Solve to find the points of intersection.
Click here to see answer by reviewermath(1029)

Question 769528: Here is a list of equations in factored form and another list in vertex form. Write each of the equations in factored form next to the equivalent equation in vertex form. Either show your work to justify each choice or explain your reason for it.
y = 2(x+4)(x�6) y=2(x+1)2 � 50
y = (x-2)(x-2) y = (x-2)2
y = (x-7)(x-11) y = (x-9)2 � 4
y = 2(x�4)(x+6) y = 2(x�9)2 �8
y = 2(x�7)(x�11) y = 2(x�1)2 � 50
Click here to see answer by lwsshak3(11628)

Question 769645: In this part of the question, you are asked to consider the trajectory
of the ball modelled by the equation y = −1/8x^2+9/8x+5/4 in conjunction with the results that you found in p(ii) Use your answer to part (a)(iii) to ﬁnd the maximum height reached by the ball. [2]My answer - I found the vertex coordinates to be 4.5,3.8 therefore the maximum height is 3.8 meters is this correct?
(iii) What does the y-intercept represent in the context of this model? My answer: The Y intercept which in this case is 5/4 represents the initial height. Assuming that the ball is not returned, how far will it be
horizontally from where Maeve served it when it ﬁrst lands on the
court? Explain your answer.My answer: It will be 10 meters because this is the x intercept.
Am i on the right track?
Click here to see answer by stanbon(75887)

Question 769821: need to solve by completing the square. 9x^2+27x-4=0
Click here to see answer by mananth(16946)

Question 770010: (x^6+2x^5)/(x^3+2x^2)=-64 what is the value of x

Click here to see answer by josgarithmetic(39614)

Question 770013: 7c2-3c-4=0 by completing the squares
Click here to see answer by lwsshak3(11628)

Question 769926: Solution of 15x2 - 24x - 132 = 0
Click here to see answer by ramkikk66(644)

Question 769994: As part of a screening process, computer chips must be operated in an oven at 145 �C. Ten minutes after starting, the temperature is 55 �C. After 5 more minutes, the temperature is 70 �C.
If you started heating the oven at 10:00 a.m., what time would the oven reach its operating temperature? Remember to label the time as a.m. or p.m.
Click here to see answer by josgarithmetic(39614)

Question 770139: A ball is dropped from a bridge 150 feet above a river. How long will it take for the ball to hit the surface of the water?
Click here to see answer by Edwin McCravy(20054)

Question 770382: Hi! Please anybody just help me with my works. Thank you very much in advance for any of your help.
(a) Use the quadratic formula to solve the equation
3p2 + 5p � 11 = 0.
Give your answers correct to two decimal places.
MY ANSWER: 1.25 and -2.92 are these correct?
(b) Find the discriminant of the quadratic expression 7x2 � 3x � 11.
MY ANSWER: d=317 is it correct?
(c) Write the quadratic expression x2 � 34x + 9 in completed-square
form.
MY ANSWER: (x-7)^2=280 is it correct?
(d) Use the completed-square form from part (c) to solve the equation x2 � 34x + 9 = 0, leaving your answer in exact (surd)form.
MY ANSWER: x1=7+2surd70 and x2=7-2surd70 are these correct?
(e) Use the completed-square form from part (d) to write down the
vertex of the parabola y = x2 � 34x + 9
MY ANSWER: y=-280 x=7 are these correct?

Click here to see answer by Alan3354(69443)

Question 770389: How do you solve 2x^2 + 2x = 5 using the quadratic formula, and is there a way to find the exact answer?
Click here to see answer by tommyt3rd(5050)

Question 770747: Given that the roots of a quadratic are -3 and 2. Find the values of a and b.
Click here to see answer by Jc0110(165)

Question 771083: The length of a rectangle is 4 units greater than its width, and the area of the rectangle can be expressed by the equation y = x2 + 4x. What is a reasonable domain for this function?
y>0
4>4
x>0
x>2
Click here to see answer by solver91311(24713)

Question 771122: The problem: 2x^2 - 12x - 7 = 0
the directions are to solve by completing the square.
This is what I did:
2x^2 - 12x = 7
2x^2 - 12x + 36 = 43
2(x(x-6) + 18) = 43
x(x-6)+ 18 = (43/2)
x(x-6) = (7/2)
x^2 - 6x = (7/2)
I keep getting stuck
I know that the answers are 6.5355 and -.5355 from plugging it into the quadratic formula, but I don't know how to get there by completing the square.
Thank you so much for any help
Click here to see answer by Edwin McCravy(20054)

Question 771166: CAN YOU HELP ME FIND THE VERTEX?
(X-3)^2+2=0
Click here to see answer by josgarithmetic(39614)

Question 771131: The word problem: The height, h, in feet of an object above the ground is given by h(t)=-16t^2 + 64t + 190 where t is the time in seconds. Find the time it takes the object to strike the ground and find the maximum height of the object.
I have no idea what to do with this equation. I have tried putting h in terms of t and solving from there, but it equals zero. I do not know what else to do. Thanks so much.
Click here to see answer by mananth(16946)

Question 771188: A stone is thrown upward from a bridge. the stone's height in feet, above the water t seconds after the stone is thrown is a function given by the equation S(t)=-16t^2+32t+256. Find the maximum height of the stone
Click here to see answer by mananth(16946)

Question 771137: What is the vertex of f(x)=4x^2-32x+67?
Click here to see answer by tommyt3rd(5050)

Question 771179: A stone is thrown upward from a bridge. the stone's height in feet, above the water t seconds after the stone is thrown is a function given by the equation S(t)=-16t^2+32t+256. Find the maximum height of the stone
Click here to see answer by oscargut(2103)

Question 771256: Write thee quadratic equation whose roots are -1 and 2 and whose leading coefficient is 3. Use the letter x to represent the variable.
Click here to see answer by oscargut(2103)

Question 771311: 8a^4+27ab^3
Click here to see answer by oscargut(2103)

Question 771371: My teacher would like us to answer her question & her question is what is wrong with this quadratic equation which is 52-x2+x=10 and the 2 on beside the x should be an exponent!!

Click here to see answer by Edwin McCravy(20054)

Question 771763: Find the x-intercepts and y intercepts for f(x) f(x) =x^2-6x+4
Click here to see answer by oscargut(2103)

Question 771764: Solve the following system of equations.
x+3y=4
x=6-3y
Click here to see answer by oscargut(2103)

Question 771900: Solve the system of equations by graphing. Then classify the system as consistent
or inconsistent and the equations as dependent or independent.
2x= -5x+16
x=y+6
Click here to see answer by oscargut(2103)

Question 771905: Write a quadratic equation having the given numbers as solutions.
-4 and -1
Click here to see answer by oscargut(2103)

Question 771912: Consider the quadratic equation: y=-2x^2-36x+1. Complete the square to express the quadratic in standard form y=a(x-h)^2+k.
When I try this problem, I get a=-2, h=-18 and k=323. I know that "a" is correct, but I'm not sure why "h" and "k" are incorrect.
Thanks for your help!
Click here to see answer by oscargut(2103)

Question 771902: without graphing, find the vertex and the maximium or minimum value of f(x)
f(x) = -3/7 (x-8)^2+7
Click here to see answer by tommyt3rd(5050)

Question 772354: Consider the quadratic equation y=8x^2-2x. Complete the square to express the quadratic in standard form y=a(x-h)^2+k.
I don't understand how to do this problem. The "8" is stumping me.
Thanks for your help
Click here to see answer by John10(297)

Question 772373: mrs.constantino bought 20 meters of wire for fencing her rectangular garden.one side of the garden is against the wll,so it does not need fencing.what equation gives the area of the garden in terms of the width of the sides?

Click here to see answer by Cromlix(4381)

Question 772360: while hovering near the top of a waterfall in national park at feet, a helicopter pilot accidentally drops his sunglasses. The height h(t) of sunglasses after t seconds is given by polynomial function h(t)=-16t^(2)+1936. when will the sunglasses hit the ground?
Click here to see answer by Cromlix(4381)

Question 772332: 9w-w^3
Factoring completely
if prime say so
Terms to use;
� Factor
� GCF
� Prime factors
� Perfect square
� Grouping

Click here to see answer by tommyt3rd(5050)

Question 772594: Which are the solutions to x^2=-16?
A. 4 and -4
B. 4+i and 4-i
C. 4i and -4i
D. -4 and 4
Click here to see answer by Alan3354(69443)

Question 772758: If one of the roots of the quadratic equation is twice the other,show that one of the roots is .Hence find the values of the constant k.
Thanks!
Click here to see answer by MathLover1(20849)

Question 773008: If the product is 48. Find the two consecutive factors and write them as an algebraic expression
Click here to see answer by josgarithmetic(39614)

Question 772597: Consider the function f(x)=2x+13 and g(x)=x^2-1. What is f/g and what is its domain?
A. You cannot compute f/g because g(x)≠0
B. (f/g)(x) = 2x+13/x^2-1 with domain (�∞, �1) ∪ (�1, 1) ∪ (1, ∞)
C. (f/g)(x) = 2x+13/x^2-1 with domain all real numbers
D. (f/g)(x) = 2x+13/x^2-1 with domain {�1, 1}
Click here to see answer by tommyt3rd(5050)

Question 773070: A sail is in the form of a right triangle that is three times as high as it is wide. The sail is made from 6 square meters of material. What is the height?
a=1/2bh
Click here to see answer by Cromlix(4381)

Question 773364: How would you solve 4p to the second power - 4 = 0?
Thank you.
Click here to see answer by josgarithmetic(39614)

Question 773613: 1 + ( -4 ) / 3 - ( -9 )
Click here to see answer by rfer(16322)

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, 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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