Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 755004: A swimming pool is filled with water by using two taps A and B. Alone, it takes tap A 3 hours less than B to fill the same pool. Together, taps A and B take 2 hours to fill the pool. How many hours does it take each tap to fill the swimming pools seperately?
Click here to see answer by josmiceli(19441)

Question 755213: Re-writing the following equation in the form y=(x-h)^2+k using "complete the square" and find the vertex and intercepts.
y=x^2+3x+5
Click here to see answer by lwsshak3(11628)

Question 282490: rewrite with positive exponents (3xy)^-8/9
Click here to see answer by Menjax(62)

Question 755326: Solve for S.

KQ Q
N = 1 2
------------
S^2

Click here to see answer by tommyt3rd(5050)

Question 755455:
s.s {-3,-1}

Click here to see answer by stanbon(75887)

Question 755455:
s.s {-3,-1}

Click here to see answer by solver91311(24713)

Question 755963: Write a quadratic equation in standard form with the given solution set.
{-1/6, 3/8}
_______=0
(Type a quadratic equation whose terms have 1 as their greatest common factor.)
Click here to see answer by reviewermath(1029)

Question 756044: The length of a rectangle is 6 more inches than its width. The area of the rectangle is 91 square inches. Find the dimensions of the rectangle.
Suppose width is x inches than length is x+6
Area of a rectangle is= l*b
91=(x)*(x+6)
91= x^2+6x
0=x^2+6x-91
0=x^2+13x-7x-91
0=x(x+13)-7(x+13)
0=(x-7)(x+13)
0=(x-7) OR 0=(x+13)
7=x OR -13=x (negative width not possible)
x=7 inches width and length is six more so 7+6=13
Answer is 7 and 13 are the length and width of the rectangle
I hope u find my solution useful
Click here to see answer by nihar*2013(34)

Question 756054: When an object is released and falls freely, its height , h metres, above the ground after t seconds is represented by the relation h = -0.5t2g + d , where g is the acceleration due to gravity and d is the initial height of the object before it is released. Since the strength of gravity varies from planet to planet, the value of g is specific to each planet.
Suppose a rock is dropped from a height of 100 m on Mars and also on Venus.
On Mars, g= 3.7m/s2 and on Venus, g= 8.9 m/s2. How long does it take the rock to fall to a height of 25 m on each planet ?
Click here to see answer by Alan3354(69443)

Question 756074: Find the quadratic equation whose roots are p and q.
Click here to see answer by Alan3354(69443)

Question 756048: -5x^2-5

Click here to see answer by tommyt3rd(5050)

Question 756137: What is the vertex of the function g(x)=(x+5)2? I need a quick answer please
Click here to see answer by stanbon(75887)

Question 756138: You are designing a rectangular birthday card for a friend. You want the card's length to be 1 in. more than twice the card's width. The area of the card is 88 in.^2. What are the dimensions of the card? Round to the nearest tenth if necessary.
Any help is appreciated.
Click here to see answer by stanbon(75887)

Question 756178: How fast would a ball have to be thrown upward to reach a maximum height of 121 ft? [Hint: Use the discriminant of the equation 16t2 − v0t + h = 0.]
Click here to see answer by Alan3354(69443)

Question 756174: hi the type of homework i have is called " factoring complex quadratics" the equation is m^2+18m+77. my teacher had us do this square with four boxes that you work with (im sorry i forgot with its called) so i put m^2 into the top left side and the 77 in the bottom right corner. then im supposed to make an X chart and i put 77m^2 on the top and the 18m on the bottom leaving the two sides blank, im supposed to find out two numbers that make 77 and 18 but i cant figure it out and its taking forever, i hope you get what i am talking about. please help.
Click here to see answer by josgarithmetic(39613)

Question 756408: How do i solve the question and whats the answer for it. I'd like the steps so that i can know in the future how to do similar ones.
x^2 - 2x - 4 = 11
Click here to see answer by stanbon(75887)

Question 756427: Find an equation of the line that satisfies the given conditions.
Through the points of (1/2,-2/5)
perpendicular to the line 3x − 6y = 1
Click here to see answer by sachi(548)

Question 756464: A person standing close to the edge on the top of a 170 foot building throws a baseball vertically upward. The quadratic function given below models the ball's height above the ground, s(t), in feet, t in seconds after it was thrown.
S(t)=-16t+64t+170
The ball reaches its maximum height of ___ feet after ____seconds.
Click here to see answer by KMST(5328)

Question 756516: x^2 + 12x +28 / x+8
Click here to see answer by nihar*2013(34)

Question 756320: Algebraically determine the EXACT roots in simplest for for x(x-2)=-3
Click here to see answer by josgarithmetic(39613)

Question 756612: Write a quadratic equation in standard form with the solution set {2-sqrt5, 2+sqrt 5}.
The quadratic equation in standard form is ___.
(Simplify your answer. Type an equation using x as the variable.)
Click here to see answer by stanbon(75887)

Question 756611: Find all real solutions of the equation. (Enter your answers as a comma-separated list.
x3 − 7x2 + 6x − 47 = x2 + 1
Click here to see answer by lwsshak3(11628)

Question 756665: The length of a rectangle is three times its width, and its area is 9 cm2. Find the
dimensions of the rectangle.
Click here to see answer by Alan3354(69443)

Question 756600: Find all real solutions of the equation. (Enter your answers as a comma-separated list. If there is no real solution, enter NO REAL SOLUTION
x^3 − 7x^2 + 6x − 47 = x^2 + 1
Click here to see answer by ankor@dixie-net.com(22740)

Question 756753: Hello,
Thanks for your help ...
is the ordered pair a solution?
(8,7); 3x-y=31
9x-6y=30
Click here to see answer by Alan3354(69443)

Question 756794: A rectangular parking lot has a length that is 6 yards greater than the width. The area of the parking lot is 720 square yards. Find the length and width.
Click here to see answer by Cromlix(4381)

Question 757001: Dear tutor,
Please help me to resolve the below-mentioned question. Thank you very much.
C1 and C2 are quadratic curves which intersect at points (0,3) and (8,s). C1 has a maximum point (m, 11) while C2 has a minimum point (m,n) where m is a positive integer.
(i) Explain why s =3
(ii) Find the value of m.
(iii) Show that the equation of C1 is y = -0.5x^2 + 4x +3
It is also known that the equation of C2 is 2y = x^2 -8x + 6.
(iv) By expressing the equation of C2 in the form y = a(x-k)^2 + h, where a, k and h are non-zero constant, find the value of n.
(v) An enclosed area A is bounded by the curves C1 and C2 for 0 < x < 8. A rectangle R, which has lengths and breadths are parallel to the x-axis and y-axis, is drawn inside the area A. By completing the square, find the largest possible perimeter of rectangle R.

Click here to see answer by solver91311(24713)

Question 757121: I have to find x and y.
X squared +2x-8 and y= 2x+1
This is from aug 2012 regents. I am practicing for my regents test. Thank you, K

Click here to see answer by MathLover1(20849)

Question 757121: I have to find x and y.
X squared +2x-8 and y= 2x+1
This is from aug 2012 regents. I am practicing for my regents test. Thank you, K

Click here to see answer by stanbon(75887)

Question 757123: 4x-8+5x+5
Click here to see answer by Alan3354(69443)

Question 757133: When the sum of 6 and twice a positive number is subtracted from a square of the number, 0 results. Find the number.
Click here to see answer by josgarithmetic(39613)

Question 757114: Ok, I have 4 more problems on my Graphing Quadratics worksheet. And it's just factoring the equation. Here's one I don't understand:
7x^2 - 43x - 42 = 0
I forget how to factor that problem, and a few of these:
7a^2 - 59a + 24 = 0
5n^2 + 31n - 28 = 0
5v^2 - 8v - 21 = 0
Help me with this, and more tips to factor faster? Thanks so much! I need it for my Algebra 1 class.
Click here to see answer by josgarithmetic(39613)

Question 757206: Hello
I have absolutely struggled to find somewhere online that I can ask a question for free with no loopholes.
Perhaps you would be able to help me with my small problem �
I need to factorise the following quadratic
10sin^2 x (that is, 10 sin squared x) - 4sinx -5
I would really appreciate any help you could offer, as soon as possible.
Thanking you
Click here to see answer by KMST(5328)

Question 757744: A rectangular portrait is 3 inches longer than it is wide. A 3 inch frame of uniform width is to be placed around the portrait. The area of the portrait and frame is 108in^2. Find the dimensions of the portrait without the frame.
Click here to see answer by sachi(548)

Question 757853: 4y^2+12y+5=0

How did they factor and get
(2y+1)(2y+5)=0? How did they get 1 and 5 in factoring from the equation at the top? help please
Click here to see answer by stanbon(75887)

Question 758129: A rectangular corral needs to be built using 200feet of fencing. The formula for the corral area is A=100w-w^2 where A is the area and w is the width of the rectangle. Find the maximum possible area of the corral.
HELP! I need the answer please and thank you (:
Click here to see answer by Cromlix(4381)

Question 758133: find the value of k in 2x^2 - 3(k^2)x = 8 - 6kx if one root is negative of the other.
Click here to see answer by htmentor(1343)

Question 758193: A rectangular park is 6 miles long and 3 miles wide. How long is a pedestrian route that runs diagonally across the park?
Click here to see answer by lwsshak3(11628)

Question 758235: find the ordered pair for the vertex f(x)= -(x+5)^2 +9
Click here to see answer by stanbon(75887)

Question 757880: 0=4v^2+21v-18
for this quadratic equation why did they have 0=(4v-3)(v+6) instead of (2v-9)(2v+2)?
What determines the factors you use if they equal the same thing? 3*6=18 and so does 2*9. I don't get why it was wrong.
Click here to see answer by KMST(5328)

Question 758250: can you show me step by step on how Solve the quadratic equation by completing the square -3x^2+7x=-5
Click here to see answer by josgarithmetic(39613)

Question 758250: can you show me step by step on how Solve the quadratic equation by completing the square -3x^2+7x=-5
Click here to see answer by lwsshak3(11628)

Question 758405: Complete the Square of:
x^2-6x+y^2+5=0
Thank You :) :)
Click here to see answer by stanbon(75887)

Question 758615: How do I solve for x with factoring for the following: 25x^2+16=40x.
I'm not sure but i think that I need to move 40x over to the right side so it looks like this:
25x^2+16-40x=0
But I'm unsure.
Click here to see answer by John10(297)

Question 758673: in a triangle ABC,if angle A+angle B =150 degree and angle B+angle C=100.find the measure of each angle of the triangle
Click here to see answer by Cromlix(4381)

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, 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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, 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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