Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 90321: Find the x-intercept and y-intercept of the equation 5x-3y=30
Click here to see answer by stanbon(57940)

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(15745)

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(28696)

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(28696)

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(28696)

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(28696)

Question 90565: Hi can someone show me how to solve this equation using the quadratic formula?
5x^2+9x= -11
Click here to see answer by checkley75(3666)

Question 90606: Find all real and imaginary solutions.
b^4+13b^2+36=0
Click here to see answer by scott8148(6628)

Question 90608: For 1989 and 1990 Dave Johnson had the highest decathalon score in the world. When Johnson reached a speed of 32 ft/sec on the pole vault runway, his height above the ground t seconds after leaving the ground was given by h=-16t^2+32t. For how long was he more than 14 ft in the air?
Click here to see answer by scott8148(6628)

Question 90605: Find the vertex and intercepts for each parabola. Sketch the graph.
g(x)=x^2+x-6
Click here to see answer by stanbon(57940)

Question 90583: I need major help
solve each of the following quadiatic equations by completly the square.
x^2-6x-3=0
and 2x^2+10x+11=0
thanks a million
Click here to see answer by vertciel(183)

Question 90696: Solve by completing the square: 4x^2 + 2x - 3 = 0
4x^2 + 2x = 3
x^2 + 2/4x = 3/4
Square one-half of the of the x-coefficient and then add it to both sides
1/2 of 2/4 = 1/4^2 = 1/16
x^2 + 2/4x + 1/16 = 3/4 + 1/16
(x-1/4)^2 = 13/16
x - 1/4 = +/- radical 13 over radical 16
x - 1/4 = +/- radical 13 over 4
x = 1/4 +/- radical 13 over 4
x = 1 +/- radical 13 over 4
Again, any feedback would be appreicated!
Click here to see answer by vertciel(183)

Question 90694: Solve: -9(x-3)^2 = -7
(x-3)^2 = -7 over -9
x-3 = +/- radical 7 over radical 9 = radical 63 over 9
x-3 = 3 radical 7 over 9
x = 3 +/- 3 radical 7 over 9
x = 27 over 9 +/- 3 radical 7 over 9
x = 27 +/- 3 radical 7 over 9
Please let me know if this correct - thank you.
Click here to see answer by vertciel(183)

Question 90705: Can someone show me how to solve 64x^4 - 36x^2 = 0
Click here to see answer by scott8148(6628)

Question 90714: Solve: -9(x-3)^2 = -7
divide both sides by -9
(x-3)^2 = -7 over -9
remove the square from the left
x-3 = +/- radical 7 over radical 9 = radical 63 over 9
simplifiy the radical on the right
x-3 = 3 radical 7 over 9
add three to both sides
x = 3 +/- 3 radical 7 over 9
x = 27 over 9 +/- 3 radical 7 over 9
simplify
x = 27 +/- 3 radical 7 over 9
Can someone please confirm the steps I'm taking
Click here to see answer by scott8148(6628)

Question 90580: Find all real solutions
5Xsquared-4X-8
Click here to see answer by checkley75(3666)

Question 90879: Solve by completing the square: 4x^2 + 2x - 3 = 0
4x^2 + 2x = 3
x^2 + 2/4x = 3/4
Square one-half of the of the x-coefficient and then add it to both sides
1/2 of 2/4 = 1/4^2 = 1/16
x^2 + 2/4x + 1/16 = 3/4 + 1/16
(x-1/4)^2 = 13/16
x - 1/4 = +/- radical 13 over radical 16
x - 1/4 = +/- radical 13 over 4
x = 1/4 +/- radical 13 over 4
x = 1 +/- radical 13 over 4
Any help is appreciated.
Click here to see answer by stanbon(57940)

Question 90898: Solve the equation first by completing the square and then by factoring.
Click here to see answer by bucky(2189)

Question 90908: factor 30a2b5-12a3b3
Click here to see answer by malakumar_kos@yahoo.com(315)

Question 90907: solve for x , 2x(x-3)(x-4)=0
Click here to see answer by malakumar_kos@yahoo.com(315)

Question 90931: I've racked my brain for hours & I still don't know where to begin on this problem: A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30 ft by 40 ft. the total area, garden plus walkway, is to be 1800 ft^2. What must be the width of the walkway to the nearest thousandth?
Thank you.
Click here to see answer by jim_thompson5910(28696)

Question 90254: Find the maximum value of y=-x squared+6x
Click here to see answer by bucky(2189)

Question 90758: Solve by completing the square: 4x^2 + 2x - 3 = 0
4x^2 + 2x = 3
x^2 + 2/4x = 3/4
Square one-half of the of the x-coefficient and then add it to both sides
1/2 of 2/4 = 1/4^2 = 1/16
x^2 + 2/4x + 1/16 = 3/4 + 1/16
(x-1/4)^2 = 13/16
x - 1/4 = +/- radical 13 over radical 16
x - 1/4 = +/- radical 13 over 4
x = 1/4 +/- radical 13 over 4
x = 1 +/- radical 13 over 4

Click here to see answer by bucky(2189)

Question 90880: I have trouble with word problems like the following....
A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30ft by 40ft. The total area, garden plus walkway, is to be 1800ft^2. What must be the width of the walkway to the nearest thousandth?
I honestly don't even know where to beginning???
Click here to see answer by ankor@dixie-net.com(15745)

Question 90996: This is actually a Quadratic Function.
Y= X squared -4
It needs the x-intercept, axis, and vertex. I'm not realy sure on how to do this.
Click here to see answer by checkley75(3666)

Question 91089: Debbie stopped by starbucks the other day, she decided to try and figure out how many possible coffee drinks were available. She noticed that a person could order regular or decaf, three sizes, iced or hot, 4 kinds of milk, 18 syrup flavors and whip or no whip. How many different coffe drinks are available if a person chooses one of each of the above options.
regular=x Problem looks like this???? 3(x+1x)3(3x+4)+18-1
decaf=1x
hot=3
iced=3x
milk=4
syrup=18
whip=x
no whip=1x
Click here to see answer by psbhowmick(529)

Question 91091: If you all could solve this one, I would be able to solve the rest that are like it and you would have my eternal adoration.
The diameter (in inches) of a a 80 foot long wire has that a resistance of 24 ohms is defined by the function 24= 80/d2 (to the power of two that is). What is its diameter?
Click here to see answer by stanbon(57940)

Question 91094: I can normally do complete the square problems but this one's thrown me for a loop be of the fact that it has a fraction.
What is the last term for w^2 - 7/3w + __
Click here to see answer by stanbon(57940)

Question 91106: How do I solve this equation?
25w^2 - 25w = -3
Click here to see answer by jim_thompson5910(28696)

Question 91110: Find y-intercept and vertex y = x^2 - 3x - 4
Click here to see answer by jim_thompson5910(28696)

Question 91107: Please help me solve this, 5x^2 + 14x = -3
Click here to see answer by jim_thompson5910(28696)

Question 91117: This one's like the other, but a bit different. 3(x-2)^2+1=0 I could tell I need to use the sqare root property but when I look in my textbook for an explanation, I don't undestand the + - in figuring it out.

Click here to see answer by jim_thompson5910(28696)

Question 91118: How do I solve the equation by completing the sqaure: x^2-4x-10=0
Also, I need to solve -9x-3x^2=5 using the quadratic formula. What's the difference of an algebra problem being solved by using a quadratic function, and one being solved by using the quadratic formula?
Click here to see answer by jim_thompson5910(28696)

Question 91115: I need to solve 3(x-2)^2=12. I want to use the distributive formula, but that doesn't seem to work. I guess I need to use the sqare root property? I'm unsure how to do this.
Click here to see answer by jim_thompson5910(28696)

Question 91138: Help!I need to find the midpoint between the points (3,2) and (7,10)
Click here to see answer by stanbon(57940)

Question 91137: Factoring a quadratic with leading coefficient greater than one-- can your calculators answer these problems, so far answers are all wrong
10w^2+11w-6
Click here to see answer by checkley71(8403)

Question 91217: factoring a quadratic with leading coefficient greater than one
2y^2+15y+28
Click here to see answer by stanbon(57940)

Question 91217: factoring a quadratic with leading coefficient greater than one
2y^2+15y+28
Click here to see answer by checkley71(8403)

Question 91223: factoring a quadratic with leading coefficient greater than one
3x^2-17x+20
Click here to see answer by jim_thompson5910(28696)

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