Questions on Algebra: Quadratic Equation answered by real tutors!

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Tutors Answer Your Questions about Quadratic Equations (FREE)


Question 394185: X2=9
Click here to see answer by MathLover1(6625) About Me 

Question 394114: A baseball team played 141 complete games last season. They had 13 fewer wins than losses. How many games did the team win?
x = games won
13 + x = 141
x = 128
I am completely lost! Am I even on the right track.
Thanks for your help.


Click here to see answer by TeishaRenee(14) About Me 

Question 394258: 4v^4+16v^3+48v^= how do you factor this quadratic trinomial and a minomial.
Click here to see answer by stanbon(57250) About Me 

Question 394262: write the trinomial as the square of a binomial
x2-2x+1

Click here to see answer by stanbon(57250) About Me 

Question 394279: solve the equation, check the results graphically
3x2 + 9x + 1 = 0

Click here to see answer by ewatrrr(10682) About Me 

Question 394439: the area of a rectangle is 6x^2-31x+35 square innches.
what is the length and width of the rectangle?

Click here to see answer by mananth(12270) About Me 
Question 394439: the area of a rectangle is 6x^2-31x+35 square innches.
what is the length and width of the rectangle?

Click here to see answer by Alan3354(30983) About Me 

Question 394456: a rectangle has a perimeter of 100 cm. Find the greatest possible area for the rectangle. so can you explain how to do this and the complete solution in terms of centimeters. Thanks RK
Click here to see answer by richard1234(5390) About Me 

Question 394517: Simplify
(z^2/-3y^4)^3
-(y^12z^6/27)

Click here to see answer by mathhelperiam1A(1) About Me 

Question 394515: Simplify
b^3 a^5/b^4 a

Click here to see answer by EricL(29) About Me 

Question 394518: Rewrite the following without an exponent.
(5/8)^-2

Click here to see answer by robertb(4012) About Me 

Question 394522: Simplify
(y^2)^-6
Write your answer without using negative exponents

Click here to see answer by edjones(7569) About Me 

Question 394752: Give exact and approximate solutions to three decimal places
x^2 + 5x -3 = 0

Click here to see answer by ewatrrr(10682) About Me 

Question 394754: The flower garden has the shape of a right triangle. 34 ft of a perennial border forms the hypotenuse of the triangle, and one leg is 14ft longer than the other leg. Find the lenghts of the leg.
What are the lenghts of the legs? (use a comma to separate answers as needed)

Click here to see answer by ewatrrr(10682) About Me 

Question 394787: Please help me solve this:
A ball is thrown vertically upward from the top of a building 32 feet tall with an initial velocity of 16 feet per second. The distance s (in feet) of the ball from the ground after t seconds is s=32+16t-16t^2.
a. after how many seconds does the ball strike the ground?
b. after how many seconds does the ball pass the top of the building on its way down?

Click here to see answer by nerdybill(6951) About Me 

Question 394798: Give exact and approximate solutions to three decimal places.
%28x-2%29%5E2=12
What are the exact solutions?
x=___
(Type an exact answer, using radicals as needed. Rationalize all denominators. Express complex numbers in terms of i. Use a comma to separate answers as needed.)
What are the approximate solutions?
x=___
(Use a comma to separate answers as needed. Round to the nearest thousandth as needed.)

Click here to see answer by MathLover1(6625) About Me 

Question 394745: solve by completing the square
x^2 + 8x - 9 = 0

Click here to see answer by scott8148(6628) About Me 

Question 394797: a) Solve 3x^2 - 5x - 13 = 0
What are the solutions?
(type exact answers, using radicals in terms of i. Use a comma to serarate answers as needed.)
b) Find the x-intercepts of f(x)= 3x^2 -5x-13

Click here to see answer by richard1234(5390) About Me 

Question 394744: Give exact and approximate solutions to three decimal places.
y^2 - 10y + 25 = 36

Click here to see answer by scott8148(6628) About Me 

Question 394802: Solve: 5x%5E2=15
What are the solutions?
x=___
(Type an exact answer, using radicals as needed. Rationalize all denominators. Express complex numbers in terms of i. Use a comma to separate answers as needed.)
Find the x-intercepts of f%28x%29=5x%5E2-15
The x-intercepts are ___.
(Type an ordered pair. Type an exact answer, using radicals as needed. Rationalize all denominators. Use a comma to separate answers as needed.)

Click here to see answer by stanbon(57250) About Me 

Question 394793: Give exact and approximate solutions to three decimal places.
(x-1)^2 = 16

Click here to see answer by richard1234(5390) About Me 

Question 394749: a) solve 3x^2 - 5x - 11 = 0
b) find the x-intercepts of f(x) = 3x^2 - 5x - 11

Click here to see answer by MathLover1(6625) About Me 

Question 394794: Give the exact and approximate solutions to three decimal places.
y^2 - 10y + 25 = 36

Click here to see answer by stanbon(57250) About Me 

Question 394791: Give exact and approximate solutions to three decimal places.
(x-1)^2 = 16

Click here to see answer by jim_thompson5910(28504) About Me 

Question 394807: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function.
f%28x%29=-2x%5E2%2B2x%2B5
The x-coordinate of the vertex is ___.
(Type a simplified fraction.)
The y-coordinate of the vertex is ___.
(Type a simplified fraction.)
The equation of the line of symmetry is x=___.
(Type a simplified fraction.)
The maximum/minimum of f(x) is ___.
(Type a simplified fraction.)
The value of f%281%2F2%29=11%2F2 is?
Minimum or Maximum
Graph

Click here to see answer by edjones(7569) About Me 

Question 394513: Find the values of x and y that solve the following system of equations.
-3x-4y = -22
5x - 8y = -22

Click here to see answer by ankor@dixie-net.com(15639) About Me 

Question 394748: solve for r
r^2 + 3r = 1

Click here to see answer by robertb(4012) About Me 

Question 394747: x^2 + 14x + 4 = 0
Solve for x

Click here to see answer by robertb(4012) About Me 

Question 394729: I really don't know how to set this up to get my answer....Please someone Help!!

A temporary agency offers two payment options for administrative help:
Option1: $25 daily fee plus $10/hour; or
Option 2: No daily fee but $15/hour.
Let x = total hours worked.
a) Write a mathematical model representing the total temp cost, C, for a four-day temporary administrative assistant in terms of x for the following:
Option 1: C=_________________
Option 2: C=_________________

b) How many total hours would the temp need to work in the four day period for the cost of option 1 to be less than option 2. Set up an inequality and show your work algebraically using the information in part a. Don’t forget about the daily fee in Option 1 (it’s a four day proposition!). Do not assume an eight hour workday. Any number of hours per day is possible.
Answer:

Show your work here:
Lisa

Click here to see answer by mananth(12270) About Me 

Question 394940: A homeowner wants to increase the size of a rectangular deck that now measures 15 feet by 20 feet, but building code laws state that a homeowner cannot have a deck larger than 900 square feet. If the length and the width are to be increased by the same amount, find, to the nearest tenth, the maximum number of feet that the length of the deck may be increased in size legally. [Show work.]
Click here to see answer by Earlsdon(6287) About Me 

Question 394991: Give exact and approximate solutions to three decimal places.
x%5E2-5x%2B5=0
The exact solutions are x=____
(Use radicals as needed. Use a comma to separate answers.)
The approximate solutions to 3 decimal places are x=____
(Use a comma to separate answers.)

Click here to see answer by ewatrrr(10682) About Me 

Question 394992: Find the x-intercepts and y-intercepts for f(x).
f%28x%29=x%5E2-7x%2B2
The x-intercept(s) is(are) ____.
The y-intercept(s) is(are) ____.
(Type an ordered pair. Type an integer or a decimal. Round to the nearest tenth. Use a comma to separate answers as needed.)

Click here to see answer by ewatrrr(10682) About Me 

Question 394985: a)Solve 7x%2Bx%28x-3%29=0
-What are the solutions?
x=____
(Simplify your answer. Type exact answers, using radicals as needed. Express complex numbers in terms of i. Use a comma to separate answers as needed.)
b)Find the x-intercepts of f%28x%29=7x%2Bx%28x-3%29.
-What are the x-intercepts?
(Type an ordered pair. Simplify your answer. Type an exact answer, using radicals as needed. Express complex numbers in terms of i. Use a comma to separate answers as needed.}

Click here to see answer by scott8148(6628) About Me 
Question 394985: a)Solve 7x%2Bx%28x-3%29=0
-What are the solutions?
x=____
(Simplify your answer. Type exact answers, using radicals as needed. Express complex numbers in terms of i. Use a comma to separate answers as needed.)
b)Find the x-intercepts of f%28x%29=7x%2Bx%28x-3%29.
-What are the x-intercepts?
(Type an ordered pair. Simplify your answer. Type an exact answer, using radicals as needed. Express complex numbers in terms of i. Use a comma to separate answers as needed.}

Click here to see answer by ewatrrr(10682) About Me 

Question 394980: Give exact and approximate solutions to three decimal places.
x%5E2%2B12x%2B36=64
What are the exact solutions?
x=____
(Type an exact answer, using radicals as needed. Rationalize all denominators. Express complex numbers in terms of i. Use a comma to separate answers as needed.)
**There are no approximate solutions since the solutions are integers.

Click here to see answer by scott8148(6628) About Me 

Question 395045: Find all solutions of the equation x^2−3x+8=0 and express them in the form a+bi:
First with the input b<0
Then with the input b>0

Click here to see answer by stanbon(57250) About Me 

Question 395135: Please help me solve this equation: +0.63x%2B0.88y=16681.66+
Click here to see answer by stanbon(57250) About Me 
Question 395135: Please help me solve this equation: +0.63x%2B0.88y=16681.66+
Click here to see answer by richard1234(5390) About Me 

Question 395138: Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing needs until the tickets sell out. You provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. ( is the day tickets go on sale).

a. Does the graph of this equation open up or down? How did you determine this?

Click here to see answer by richard1234(5390) About Me 

Question 395151: write 6x^2-17x+13=20x^2-32 in standard form then solve.
Click here to see answer by mananth(12270) About Me 

Question 395154: use the quadratic formula to solve the equation. If necessary, round answers to the nearest hundredth.
question 1 : 2a^2-46a+252=0
question 2 : x^2-4x=5
please answer these . thanks

Click here to see answer by mananth(12270) About Me 
Question 395154: use the quadratic formula to solve the equation. If necessary, round answers to the nearest hundredth.
question 1 : 2a^2-46a+252=0
question 2 : x^2-4x=5
please answer these . thanks

Click here to see answer by jsmallt9(3296) About Me 

Question 395277: Give exact and approximate solutions to three decimal places.
x%5E2%2B12x%2B36=64
What are the exact solutions?
x=____
(Type an exact answer, using radicals as needed. Rationalize all denominators. Express complex numbers in terms of i. Use a comma to separate answers as needed.)
**There are no approximate solutions since the solutions are integers.

Click here to see answer by Earlsdon(6287) About Me 

Question 395290: A model rocket is launced into the air and follows a parabolic path described by the function h(t)=-5t^2 + 40t +2, where t is time in seconds after the rocket is launched and h(t) is the height of the rocket above the ground in metres. Algebraically determine the maximum height reached by the rocket and the time it takes the rocket to reach it's maximum height.
Click here to see answer by stanbon(57250) About Me 

Question 395287: A football is kicked in the air and lands on the ground 32m from where it was kicked. If the maximum height reached by the ball is 14m, determine the transformational form of the quadratic function representing the path of the football while it is in the air.
Click here to see answer by jrfrunner(365) 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