Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 76454: Need to solve the quadratic formula and state if there are no real roots or not for question #8 on page #588:
X^2+9x+7=0
The help is greatly appreciated!

Click here to see answer by checkley75(3666)

Question 76447: On page #588, question #20, I need to solve the quadratic formula and state if there are no real roots or not. Can someone please help?
3x^2-4x+2=0
Thanks for your help!

Click here to see answer by checkley75(3666)

Question 76446: I need help on page #575 on question #20. I need to solve the roots of each quadratic equation using the factoring method, and place the equation in standard form before factoring:

X^2=10x-24

Thanks for your time. =)

Click here to see answer by checkley75(3666)

Question 76458: I really need some help - my assignment is due tomorrow night and I have about 6 more problems. Here is one, if someone can help me:
for the function of y = x2 - 6x + 8 what is the equation for the line of symmetry for the graph of this function.
Any help will be so appreciated.
Thanks
Click here to see answer by scott8148(6628)

Question 76453: I need to write in standard form and determine the values of a, b, and c, for question #4 on page #575:
4x^2+20x= 0
I tried it like this, but don�t know if it is correct:
A= 4
B= x^2
C=20
Thanks for the help!

Click here to see answer by checkley75(3666)

Question 76539: Need to solve the quadratic formula and state if there are no real roots or not for question #10 on page #588:
3x^2+7x-6=0
Thanks!

Click here to see answer by jim_thompson5910(35256)

Question 76538: I need to solve the quadratic formula and state if there are no real roots or not for question #14 on page #588:
3=7x-4x^2
Appreciate the help.

Click here to see answer by jim_thompson5910(35256)

Question 76541: I don't know exactly how to get this form y=a(x-h)^2+k from the function y=x^2-6x+8. I don't know how to get this function into this particular form.
Click here to see answer by scott8148(6628)

Question 76563: I have the problem:
12q to the second -36 q+27
I was asked to factor. I did but I don't think I did it right and would like to compare to someone. Thanks for the help
Click here to see answer by rmromero(383)

Question 76574: I don't know exactly how to go about solving this one problem. Here's is the question I have to answer. Amanda has 400 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). She wants to maximize the area of her patio ( area of a rectangle is length times width). What should the dimensions of the patio be, and show how maximum area of the patio is calculated from the algebraic equation. Use the vertex form to find the maximum area. I can only get so far and don't know how to go about solving it.
Click here to see answer by Earlsdon(6294)

Question 76578: I need help factoring this: 2xsquared-x+1
Click here to see answer by jim_thompson5910(35256)

Question 76650: This is an application question which I am not sure how to make into an equation
Engine failure forced Geraldine to pilot her Cessna 150 to an emergency landing. To land, Geraldine's plane glided 17,000 ft over a 15,000 ft stretch of deserted highway. From what altitude did the descent begin?
Click here to see answer by psbhowmick(878)

Question 76673: Square root of 2t minus t + 4 = 0
Click here to see answer by funmath(2933)

Question 76705: I get so confused with these problems I just don't understand.
It says Solve the Quadratic equations by factoring
(2x-7)(7x+2)=0 And so how would I go about solving this?
turn it into 14x(squared)-45x-14=0??? and then? ugggghh
Some one please help me!!
Thank you for yout time.
Click here to see answer by checkley75(3666)

Question 76707: Hi I just want someone to check to see if I did this right.
Quadratic equation
4x cubed -36x=0
4x (x squared -9) = 0
4x (x-3)(x+3) = 0
x=3 , x=-3 , and x=0
Is this right?
Thanks you

Click here to see answer by checkley75(3666)

Question 76783: I am having trouble finding the particular equation for the quadratic function described in the following situation.
The quarterback is standing on the opponents' 40-yard line. He throws a pass toward their goal line. The ball is 2 meters above the ground when the quarterback lets it go. It follows a parabolic path, reaching its highest point, 14 meters above the ground, as the 20-yard line.
Can you help
Click here to see answer by Nate(3500)

Question 76792: Simplify.
I am having a really hard time with this problem and need some help please thanks.
Click here to see answer by chitra(359)

Question 76793: Simplify.
This problem seemed very difficult and need to verify that my answer of is correct. Thanks so much for your time.
Click here to see answer by chitra(359)

Question 76795: Evaluate , if possible.
I have tried to figure this one out but I have not reached and acurate solution. I am acutally not sure if the solution should be 2 or -2. Could you please help me with this? Thanks.
Click here to see answer by checkley75(3666)

Question 76794: Use a calculator to approximate to the nearest hundredth.
I came up with 5.29. Is this correct?
Click here to see answer by checkley75(3666)

Question 76791: Solve by completing the square. x^2 -14x +49 = 0
I came up with the answer of 7, 7 for this problem. Is this correct? ______________________________________________________________________-
Solve. (x-2)^2 =7
I came up with two answers for this problem but the answer given for the test has only one and I need some help...Thanks. My answer is x=,x=. The options for this problem are:
a)+ 51
b)+
c)-2 +
d)2 +
________________________________________________________________________________
Solve.
I came up with the answer of -3 for this problem. Is this correct? The answer options are:
a)0
b)-2
c)-3
d)No Solution
_____________________________________________________________________________--
Find the distance between (10, 0) and (-1, 0).
I am not sure how to do this...the answers it provids is :
a)9
b)11
c)
D)19
Thanks for your help, it is very much appreciated in advance.

Click here to see answer by checkley75(3666)

Question 76853: solve the sytem algebraically
y^2 = x^2 - 32
x^2 + y^2 = 40
Click here to see answer by checkley75(3666)

Question 76853: solve the sytem algebraically
y^2 = x^2 - 32
x^2 + y^2 = 40
Click here to see answer by funmath(2933)

Question 76858: Please help!!! I have tried solving the following problems, but can't seem to understand. Whatever assistance anyone can provide will be greatly appreciated. Thanks in advance.
PG. 575
Using the factoring method, solve for the roots of each quadratic equation. Be sure to place your equation in standard form before factoring.
(14.)x^2 + 3x - 40 = 0
PG. 588
Solve using the quadratic formula. If there are no real roots, say so.
(20.) 3x^2 - 4x + 2 = 0
Click here to see answer by checkley75(3666)

Question 76879: I need help coming up with a real life situation for the equation:
-4.9x^2+15x+2.1
My teahcer suggested it as being a bridge...but I think it's too steep and I don't know what else it could be. Can you help?! Please.
Click here to see answer by adamchapman(301)

Question 76900: Hello tutor,
Okay so we are doing quadratic formulas and I get the first half of the steps. I dont understand though, what to do after you get the most simplified square root. I dont know what you are supposed to do with the denominator and the stuff on the outside by the add or subtraction sign. I've looked at tons of websites with just the steps on it, but not words, so i do not understand. If maybe you could clear that up that would be great. Thank you.
Click here to see answer by Edwin McCravy(20054)

Question 76887: The perimeter of a triangle is 85 inches. The sides are: 2x, 2x+5, and X squared + 3 Find the legths of the sides.
I though of putting them all together and then factoring, but it wasn't working out. If someone could help me I would really appreciate it.
Thank you very much for your time.
Click here to see answer by jim_thompson5910(35256)

Question 76919: Yuri has a board that is 98 in long. He wishes to cut the board into two pieces so that one piece will be 10 in. longer than the other. What should the length of each piece be?
Click here to see answer by bucky(2189)

Question 76930: Could you please help me simplify. +
I am struggling with this one for some reason. Please help me with this one. Thanks.
Click here to see answer by ankor@dixie-net.com(22740)

Question 76983: Solve using the square root property:
(x + 3)^2 = 36
please i need a good example to follow, for my other problems.
Click here to see answer by checkley75(3666)

Question 76983: Solve using the square root property:
(x + 3)^2 = 36
please i need a good example to follow, for my other problems.
Click here to see answer by jim_thompson5910(35256)

Question 76979: on page 842 lesson 10-2 number 11 is what i need help on the question is
-3x^2+6x-9=0
i would realy appreaciate it if you could help. Thanks!
Click here to see answer by checkley75(3666)

Question 77062: For the equation x - 2SQRT of X=0 , perform the following:
a) Solve for all values of x that satisfies the equation.

b) Graph the functions y = x and y=2 SQRT of X on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
Graph:

Points of intersection:

Click here to see answer by Edwin McCravy(20054)

Question 77140: 2x+3y=6 (for x) linear equation
Hints:
Isolate x on one side of the equals sign.
Your answer will be a formula, not a number.

Click here to see answer by stanbon(75887)

Question 77125: 9x+7=5x-3
Click here to see answer by checkley75(3666)

Question 77202: 9x + 7 = 5x -3
x=
Click here to see answer by tutorcecilia(2152)

Question 77203: A=1/2h(B+b)(for b)area of a trapezoid
Hints:
Isolate b on one side of the equals sign
B and b are 2 different variables. B does no = b
There is more than 1 correct answer to this question.
Your answer will be a formula, not a number.
b=

Click here to see answer by Earlsdon(6294)

Question 77198: The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the Volume is 1000 cm3.
Click here to see answer by Earlsdon(6294)

Question 77198: The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the Volume is 1000 cm3.
Click here to see answer by THANApHD(104)

Question 77175: Solve for x and check the result
6x-1/5 - 2x/3 = 3
(6x-1 over 5) - (2x over 3) = 3

X=

Click here to see answer by tutorcecilia(2152)

Question 77259: the solution set of the equation x^2-4x=0 is?
Click here to see answer by tutorcecilia(2152)

Question 77257: What is the value of x in the equation 5x+2x-4=4x+5?
Click here to see answer by avidreader27(9)

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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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, 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