Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 89562: The length of a rectangle is 2 cm more than 5 times its width. If the area of the rectangle is 65 cm2, find the dimensions of the rectangle to the nearest thousandth
Hint: Call the width x. Then the length is 5x + 2. Now write your equation and solve.
Click here to see answer by checkley75(3666)

Question 89555: Simplify. Express your answer in simplified radical form.
sqrt108x^6/sqrt3

Click here to see answer by checkley75(3666)

Question 89550: It's been a long time since I've used the quadratic formula. Can you help me solve this?
Use the quadratic formula to solve the equation to the exact value or round to two decimal places. x^2-x-3=0
It's my summer assignment for a Pre AP Geometry class (review from Algebra 1) And it counts for a major test grade? Could you help me? Thank you!!!
Click here to see answer by checkley75(3666)

Question 89566: Please help me solve this equation.
2/3x^2-1/2x+1/3=3 I was told that this problem has three ways to get the answer. Will you please show me?
Problem made up by instructor. not out a book.
Click here to see answer by scott8148(6628)

Question 89563: Simplify. Express your answer in simplified radical form.

Click here to see answer by Edwin McCravy(20054)

Question 89649: Solve by using the quadratic formula. x^2 = �3x + 6
I need assistance with this. Please show how to solve this problem.
Thank you so much!
Click here to see answer by omega2007(2)

Question 89713: please help me set up this equation and solve
(x+3)(x-2)= 50 the book states the equation solutiion set is 8 and 7
Click here to see answer by checkley75(3666)

Question 89805: I am confused on this one. Thanks for the help
Solve using the quadratic formula
5x^2+x=3
Thanks
Click here to see answer by tutorcecilia(2152)

Question 89804: Having trouble with this. Any help would be great.
Solve using the quadratic formula
x^2+x-2=0
Thanks
Click here to see answer by Flake(45)

Question 89907: Some students planned a get together. The budget for the food was $500. Five of the students failed to come because of the distance and therefore the cost of food for each member increased by $5. How many students attended the get-together?
Click here to see answer by stanbon(75887)

Question 89760: Find the x-intercepts.
y = x^2 � 7x � 2
What is the process to solve this problem? Any assistance is appreciated.

Click here to see answer by ankor@dixie-net.com(22740)

Question 90076: having problems with this equation:
If f(t) = 2t^2 - 4t - 1, find

f(2)
then find f(-1)
can someone explain this to me :(

Click here to see answer by stanbon(75887)

Question 90076: having problems with this equation:
If f(t) = 2t^2 - 4t - 1, find

f(2)
then find f(-1)
can someone explain this to me :(

Click here to see answer by Earlsdon(6294)

Question 90108: Can someone please help me with solving this problem? Thank you.
Find the x-intercepts.
y = x^2 � 7x � 2

Click here to see answer by jim_thompson5910(35256)

Question 90109: I have another question that I need assistance with. Any assistance is greatly appreciated. Thank you.
A plane took 1 hour longer to travel 560 miles on the first portion of a flight than it took to fly 480 miles on the second portion. If the speed was the same for each portion, what was the flying time for the second part of the trip?
Click here to see answer by stanbon(75887)

Question 90111: Can someone please, please answer the following:
x+2 over x divided by x-2 over 3x.
Please help me solve this.
Thank you.
Click here to see answer by malakumar_kos@yahoo.com(315)

Question 90111: Can someone please, please answer the following:
x+2 over x divided by x-2 over 3x.
Please help me solve this.
Thank you.
Click here to see answer by stanbon(75887)

Question 90125: Use the quadriatic Formula to solve: x^2-4x-8=0
Click here to see answer by jim_thompson5910(35256)

Question 90222: Solve by completing the square:
x2 + 6x + 2 = 0

Click here to see answer by jim_thompson5910(35256)

Question 90112: If the sides of a square are decreased by 2cm, the area is decreased by 36 cm^2. What were the dimensions of the original square?

Thank you
Click here to see answer by scott8148(6628)

Question 90214: I need to graph the following quadratic equation and state the vertex and intercepts. (I need 4 intercepts). Please help me!!!! The equation is:
y=1-x^2
Thank you thank you!!!
Click here to see answer by checkley75(3666)

Question 90242: Solve using the square root property:
2x2 � 5 = 93

Click here to see answer by jim_thompson5910(35256)

Question 90251: Can someone please assist me with detailed step by step instructions on how to complete this problem? Your assistance and time is greatly appreciated.
Solve by completing the square.
x2 = 5x + 2

Click here to see answer by jim_thompson5910(35256)

Question 90253: Find the equation for the line with slope 1/2 and y-intercept 3.
Click here to see answer by tutorcecilia(2152)

Question 90261: If P(4,-5) is a point on the graph of the function y=f(x), find the corresponding point on the graph of y=2f(x-6).
Click here to see answer by stanbon(75887)

Question 90265: Find an equation for the line with the slope 1/2 and y-intercept 3.
Click here to see answer by checkley75(3666)

Question 90212: Please help me!!!!
My problem says to graph each quadratic equation and state the vertex and intercepts. The equation is y=x^2+4x. I have to have at least 4 intercepts. Thank you so much!!
Click here to see answer by stanbon(75887)

Question 90264: Give the center of the circle with equation x squared+2x+y squared+22=0
Click here to see answer by checkley75(3666)

Question 90267: Find the maximum value of y=-x squared+6x
Click here to see answer by jim_thompson5910(35256)

Question 90262: If f(x)=x squared+5, find f(a+h)-f(a)
Click here to see answer by jim_thompson5910(35256)

Question 90260: Find the maximum value of y=x squared+6x
Click here to see answer by jim_thompson5910(35256)

Question 90295: The equation h = -16t^2 + 112t gives the height of an arrow, shot upward from the ground with an initial velocity of 112 ft/s, where t is the time after the arrow leaves the ground. Find the time it takes for the arrow to reach a height of 180 ft.
Thank you!
Click here to see answer by jim_thompson5910(35256)

Question 90296: The demand equation for a certain type of printer is given by:
D = -200p + 35,000
The supply equation is predicted to be
S = -p^2 + 400p - 20,000
Find the equilibrium price.
No clue on what to do...help is appreciated!
Click here to see answer by jim_thompson5910(35256)

Question 90301: The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width of the rectangle?
x^2 + (x + 1)^2 = 4^2
x^2+ x^2 + 2x + 1 = 16
2x^2 + 2x + 1 -16 = 0
2x^2 + 2x -15 = 0
x^2 + x -15/2 = 0
I think the above is correct, but now I don't know what to do...

Click here to see answer by ptaylor(2198)

Question 90326: Find an equation for the line with slope 1/2 and y-intercept 3.
Click here to see answer by stanbon(75887)

Question 90321: Find the x-intercept and y-intercept of the equation 5x-3y=30
Click here to see answer by stanbon(75887)

Question 90363: A GARDEN AREA IS 30FT LONG AND 20FT WIDE. A PATH OF UNIFORM WIDTH IS SET AROUND THE EDGE. IF THE REMAINING GARDEN AREA IS 400FT^2 WHAT IS THE WIDTH OF THE PATH?
Click here to see answer by ankor@dixie-net.com(22740)

Question 90368: A ball is thrown upward from the roof a building 100 m tall with an initial velocity of 20 m/s - when will the ball reach a height of 80 m?
80 = -16t^2 + 20t + 100
16t^2 -20t -20 = 0
4t^2 - 5t - 5 = 0
t = -(-5) +/- radical (-5)^2 - 4(4)(-5) over 2(4)
t = 5 +/- radical 25 + 80 over 8
t = 5 + 10.247 over 8
t = 15.247 over 8
t = 1.906 seconds
Please confirm if I'm doing this correctly - thank you.
Click here to see answer by jim_thompson5910(35256)

Question 90333: Find an equation for the line with y-intercept 3 that is perpendicular to the line y=2/3x-4.
Click here to see answer by malakumar_kos@yahoo.com(315)

Question 90332: Find an equation for the line with y-intercept 3 that is perpendicular to the line y=2/3x-4.
Click here to see answer by malakumar_kos@yahoo.com(315)

Question 90292: The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?
Thanks for the help!
Click here to see answer by vertciel(183)

Question 90545: 5)
a) Calculate the value of the discriminant of x^2+4x+4=0
b) By examining the sign of the discriminant in part a, how many x-intercepts would the graph of y=x^2+4x+4 have? Why?
Click here to see answer by jim_thompson5910(35256)

Question 90550: I have posted this question twice, so if someone could please show some mercy and answer this in a detailed, easy to follow step by step process, I would be so very grateful!
Find the axis of symmetry
y=x^2+7x+5

Click here to see answer by jim_thompson5910(35256)

Question 90551: This problem is so difficult! I honestly don't know what to do. Can someone please, please answer this question:
Solve by completing the square: x^2=5x+2
Thank you.
Click here to see answer by jim_thompson5910(35256)

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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