Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 165720: 6x^2-x-5 solve for x
Click here to see answer by jim_thompson5910(28536)

Question 165692: A train normally travels 60 miles at a certain speed. one day,due to bad weather, the train's speed is reduced by 10mph so that the journey takes 3 hours longer. find the normal speed?
Click here to see answer by checkley77(12569)

Question 165753: An NFL kicker attempts a 41-yard field goal. The path of the football toward the uprights can be represented by the graph of the quadratic function f(x)= -.0625x²+2.7x, where x is the horizontal distance the football travels in yards and f(x) is the vertical distance the football travels. The bottom of the upright is 3.5 yards above the ground.
How high will the football reach its highest point? Why?
Click here to see answer by ankor@dixie-net.com(15645)

Question 165868: I am working on this in Applications and I can get to the last step but then I don't know how they get the answer: I have tried to multiply and add, subtract, and divide but I still can't understand the last step...
Here is and ex:
Find a negative real number such that the square of the sum of the number and 16 is equal to 36. (If there are two correct answers, either can be entered.)
I want to know how they get the number 256. this is how it is set up
x +16 squared =36
x squared + 32x+256=36
x squared + 32x = 220=0

I understand the steps except how they get the 256. Can you help me Please?
Click here to see answer by Earlsdon(6287)

Question 165927: the perimeter of a square and a rectangle are equal. The length of the rectangle is 11cm and area of the square is 4cm^2 more than the area of the rectangle.find the side of the square?
Click here to see answer by oscargut(891)

Question 165928: The numerator of a fraction is 1 less than the denominator.When both numerator and denominator are increased by 2, the fraction is increased by 1/12. find the orignal fraction.
Click here to see answer by oscargut(891)

Question 165936: The perimeter of one square exceeds that of another by 16 and its area is 44 less than the 4 times the area of the other. What is the length of the side of each square?

Click here to see answer by nerdybill(6951)

Question 165943: Here are 3 equations that I need you to check my answers on:
#1) Solve this equation in qudratic form:
y^4 + 5y^2 - 36 = 0

y^2 + 5y - 36 = 0
(y + 9)(y-4)
y +9 = 0 y-4=9
y = -9 y = 4
y^2 = -9 y^2 = 4
sqr. rt. of y^2 = +/- sqr. rt. of 9 sqr. rt. of y^2 = +/- sqr. rt. of 4
y = =/- 9i y = +/- 2
solutions are 9i, -9i, 2, -2

#2) Solve a radical equation this is reducible to a quadratic equation
sqr. rt. of x-4 + x = 6

sqr. rt. of x-4 = 6-x
(sqr. rt. of x-4)^2 = (6-x)^2
x-4 = (6-x)^2
x-4 = 36 - 6x - 6x = X^2
x-4 = x^2 - 12x + 36
0 = x^2 - 13x + 40
0 = (x-5) (x - 8)
x = 5 x = 8
5 is a solution, 8 is not.

#3) Solve a fractional equation that is reducible to a quadratic equation:
2/y+1 + 1/y-1 = 1
(y+1) (y-1) (2/y+1 + 1/y-1) = 1(y+1)(y-1)
2(y^2-1) (y+1)(y-1) + (y+1)(y-1)
Here I am stuck on this. Please help. Thanks.

Click here to see answer by Fombitz(13828)

Question 165978: I'm sorry if this isnt a quadratic equation...... we havent been doing algebra long so i just picked a random subject.
Here is my question (its from textbook 'Key Maths 9,3 chapter 8 section 2 homework'):
a) copy and complete : (a+b)(a-b)=
b)use the formula to simplify these
1- (s+2t)(s-2t) 2- (f+5g)(f-5g) 3-(p-3q)(p+3q)
Please help ! It said that i should include working out if possible but i dont even know how to start tackling any of this! Our maths teacher just handed us the sheet without explaining any of it
Beth x
Click here to see answer by Mathtut(3670)

Question 166004: I need help factoring this 16tsquared
please show me how to do this
thanks
Click here to see answer by Mathtut(3670)

Question 166115: consider g(x)=x^3+4x; what is the maximum number of zeroes it can have?

consider g(x)=x^3+4x; what is the maximum number of turns it can have?

if f(x) is a parabola, then what type of function is it?

Click here to see answer by stanbon(57282)

Question 166107: The height h (in feet) of an object that is dropped from the height of s feet is given by the formula h = s - 16t 2 , where t is the time the object has been falling. A 6 foot tall woman on a sidewalk looks directly overhead and sees a window washer drop a bottle from the 4 story. How long does she have to get out of the way? Round to the nearest tenth. (A story is 12 feet.) Choose the answer from the following:
2.0 seconds

1.5 seconds

1.6 seconds

1.3 seconds

Please help solve and show how to arrive at answer.

Click here to see answer by Earlsdon(6287)

Question 166121: Use the quadratic formula to prove that the roots of ax²+bx+c=0 must have –b/a as their sum and c/a as their product.
PLEASE HELP ME OUT!!!
Click here to see answer by jim_thompson5910(28536)

Question 166026: I need to solve this problem:
area of a square garden in sq feet is 49x^2-14x+1. Find the dimensions of the garden in terms of x.
Click here to see answer by sata001(4)

Question 166183: Please check my answers for in quadratic formula:
solve: v^2 = 12v - 24
v^2 12v + 24 = 0
v = 12 =/- sqr. rt. of 12^2 - 4(24)/2
= 12 +/- sqr. rt of 144 - 96/2
= 12 sqr. rt of 48/2
= 12 sqr. rt. of 4*4*3/2
= 12 +/- 4 sqr. rt. of 3/2
answer: 6 - 4 sqrt rt. of 3, 6 + 4 sqr. rt. of 3

Click here to see answer by Fombitz(13828)

Question 166189: I need to answer this question using quadratics and I am not sure where to start. Ed needs to enclose a rectangular section of his yard. The area is 35 sq ft and the perimeter is 27 ft. Find the length and the width of the section.
Click here to see answer by vleith(2825)

Question 166253: An NFL kicker attempts a 41-yard field goal. The path of the football toward the uprights can be represented by the graph of the quadratic function f(x)= -.0625x²+2.7x, where x is the horizontal distance the football travels in yards and f(x) is the vertical distance the football travels. The bottom of the uprights is 3.5 yards above the ground.
The opposing team tries to block the kick by jumping with their arms and hands up in the air. If their highest reach is 3.5 yards and they are 2 yards away, will they block the kick? Why or Why not?
Click here to see answer by stanbon(57282)

Question 166323: How do I factor:
8x-30x+7=0
Click here to see answer by Fombitz(13828)

Question 166325: I am very interested in how one would derive a quadratic equation from a physical parabola. I have one that measures 3.5" from vertex to "mouth" and 4.5" across the "mouth." I plotted it on a graph with a y intercept of 3.5 and x intercepts of 2.25, -2.25. I played with your quadratic solver and a graphing calculator and the closest I was able to come to was . How could I solve this without using the aforementioned tools?
Thank you
Click here to see answer by Fombitz(13828)

Question 166534: Solve using the quadratic formula.
5x^2-3x-3=0
Click here to see answer by Alan3354(30993)

Question 166534: Solve using the quadratic formula.
5x^2-3x-3=0
Click here to see answer by jim_thompson5910(28536)

Question 166556: Help me please:
Use synthetic division to find the quotient and remainder (4x^3-6x+5)/(x-3).
Thank you.
Click here to see answer by jim_thompson5910(28536)

Question 166556: Help me please:
Use synthetic division to find the quotient and remainder (4x^3-6x+5)/(x-3).
Thank you.
Click here to see answer by gonzo(654)

Question 166597: if the perimeter of a rectangle is expressed by the formula p=2l+2w the side w can be found by the formula ?
Click here to see answer by stanbon(57282)

Question 166597: if the perimeter of a rectangle is expressed by the formula p=2l+2w the side w can be found by the formula ?
Click here to see answer by gonzo(654)

Question 166604: Write the equation of a quadratic that has zeros of 5 and 1 with F(0)=1. I understand you need to multiply (x-5)(x-1) to get the polynomial, but f(0) wouldnt equal 1. PLEASE HELP ME OUT!!!
Click here to see answer by nerdybill(6951)

Question 166605: Write the equation of a quadratic that has zeros of 5 and 1 with F(0)=1. I understand you need to multiply (x-5)(x-1) to get the polynomial, but f(0) wouldnt equal 1. PLEASE HELP ME OUT!!!
Click here to see answer by Earlsdon(6287)

Question 166632: An NFL kicker attempts a 41-yard field goal. The path of the football toward the uprights can be represented by the graph of the quadratic function f(x)= -.0625x²+2.7x, where x is the horizontal distance the football travels in yards and the f(x) is the vertical distance the football travels. The bottom of the uprights is 3.5 yards above the ground.
1. Assuming the kick is in between the uprights, did the kicker make the field goal? Why or Why not?
2. Would the kicker have made a 42-yard field goal with the same kick? Why or Why not?
Click here to see answer by ankor@dixie-net.com(15645)

Question 166677: Find a quadratic equation with roots (4+i) and (4-i).
Click here to see answer by jim_thompson5910(28536)

Question 166813: The hypotenuse of a right triangle is 2.5 units long. The longer leg is 1.5 units longer than the shorter leg. Find the lengths of the sides of the triangle.
Please help me to get to the answer.
Click here to see answer by nerdybill(6951)

Question 166949: x^2-6x=16
Solve by completing the square.
this is what I did...but it isn't the correct way to do it.
(x-8)(x+2)
x=8, x=-2

Click here to see answer by nerdybill(6951)

Question 166950: 2x^2-3x+1=0
Solve by completing the square.

Click here to see answer by nerdybill(6951)

Question 166950: 2x^2-3x+1=0
Solve by completing the square.

Click here to see answer by Edwin McCravy(8892)

Question 166951: x^2-x-1=0
Solve by completing the square.
Click here to see answer by jim_thompson5910(28536)

Question 166990: what are all zeros of f(x)=X4th power-X3rd power+3x squared-9X-54
Click here to see answer by Fombitz(13828)

Question 166995: mary needs to enclose a rectangular section of his yard. The area is 35sq.ft and the perimeter is 27ft. Find the length and the width of the section.
Click here to see answer by checkley77(12569)

Question 167001: 4x=4x^2-3
Click here to see answer by jojo14344(1512)

Question 167048: x^2+5x+6
x^2-14x+45
x^2-21x-72
6x^2-33x+15
18x^2-3x-10
15x^2-19x+6
Click here to see answer by checkley77(12569)

Question 167045: y=x^2-10x-24

vertex point, y-intercept, x-intercept
Click here to see answer by checkley77(12569)

Question 167004: x^2=4-8x
Click here to see answer by checkley77(12569)

Question 167003: 2x^2+x-1=0
Click here to see answer by checkley77(12569)

Question 167002: 16x^2-9=0
Click here to see answer by checkley77(12569)

Question 167088: 9n2=-5+7n
Click here to see answer by checkley77(12569)

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