696 Answered Questions for the topic Quadratic Equations

Quadratic Equations Roots Of Polynomials

05/10/17

Roots of polynomials
The quadratic equation x2-6kx+k2=0, where k is a positive constant, has roots α and β, with α>β.    Show that α-β = 4√2k
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Quadratic Equations

05/10/17

quadratic Equations
Find the value of q, for which the difference between the roots in the equation x^2−10x+q=0 is equal to 6. Find the value of q, for which the difference between the roots in the... more
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Quadratic Equations Integers

05/09/17

A positive integer is 29 more than 27 times another. Their product is 8296. Find the two integers.
A positive integer is 29 more than 27 times another. Their product is 8296. Find the two integers.
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Quadratic Equations

05/09/17

word problem
You drop a pencil out a window that is 20 ft above the ground. Use the formula V2 = 64s, where V is the distance fallen, to calculate the speed the pencil is traveling when it hits the ground.
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Quadratic Equations

05/06/17

Calculate the value of each function.
f(x)=11x3–13x2–14x–12 and g(x)=–11x–12. Find f(g(4)). f(x)=11x3–13x2–14x–12 and g(x)=–11x–12. Find f(g(4)).
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Quadratic Equations

05/06/17

The difference between the roots of the quadratic equation x2−12x+q=0 is 2. Find q.
The difference between the roots of the quadratic equation x2−12x+q=0 is 2. Find q. The difference between the roots of the quadratic equation x2−12x+q=0 is 2. Find q.
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Quadratic Equations

05/06/17

Find the sum and the product of the roots of the equation:
Find the sum and the product of the roots of the equation: y^2−19=0 y2−19=0Find the sum and the product of the roots of the equation:
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Quadratic Equations Functions

05/06/17

How many seconds after it was hit did the ball hit the ground, to the nearest second?
The following function gives the height, h metres, of a batted baseball as a function of the time, t seconds, since the ball was hit.   h = -6(t-2.5)^2 + 38.5 
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Quadratic Equations

05/04/17

Find the sum and the product of the roots of the equation:
3x^2−10=0 3x2−10=0
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Quadratic Equations

05/04/17

Quadratic Equations
One of the roots of the equation 10x2−33x+c=0 is 5.3. Find the other root and the coefficient c. One of the roots of the equation 10x2−33x+c=0 is 5.3. Find the other root and the coefficient c.
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Quadratic Equations

05/01/17

Use completing the square to solve the equation. x^2 -10x -4 = 0
I know how to solve using the quadratic formula but I don't know how to set it up by completing the square.
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04/29/17

Quadratic equation related doubt
How to get the formula s=1/2(αβ/α+β)t2 
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Quadratic Equations

04/28/17

What is the sum of the solutions to the equation 3x^2+7x-2 = (x+1)^2?
I know how to figure it out, I don't know what to write for the sum of the solutions?  Do I see if any of the two solutions make the problem true?
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Quadratic Equations

04/28/17

What is the sum of solutions to the equation? 3x^2 +7x -2= (x+1) ^2
I got the answers but I still don't know how to answer the question, what is the sum of the solutions?    3x^2+7x -2 = (x+1) (x+1) 3x^2+7x -2 = x^2 +2x + 1 2x^2 +5x -3 = 0 (2x-1) (x+3) x = -3 y =... more
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Quadratic Equations

04/27/17

Let f(x) = (x + 6)^2. For what value(s) of x is f(x) = 3? (Enter your answers as a comma-separated list.)
I don't know how to even start this?
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Quadratic Equations

04/27/17

What is the product of the solutions to the equation 5√x+4 = x+10?
I have solved the problem but don't know what product of solutions mean?   What do I do wit x=0 and x=5?
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Quadratic Equations Algebra Simultaneous Equations

04/25/17

Simultaneous Equation
Please may i get a step by step solution of how to solve a^2 = 66 + ab a = 3b + 4   I know the answer is a = 9 and b = 5/3 But i want to understand how to get there
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Quadratic Equations

04/22/17

Is there a value of a for which the following holds true (if there is, find it)
3a+.6=9a^2+.36 3a+.6=9a2+.36
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Quadratic Equations

04/22/17

Find the values of the variable y, for which
the sum of the fractions 6/y+1 and y/y−2 is equal to their product the sum of the fractions  6 y+1  and  y y−2  is equal to their product
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Quadratic Equations

04/19/17

f(x)= -(x-1)(x-6) Find x-intercepts and maximum height of graph
first find x- intercepts then find the max height 
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Quadratic Equations Quadratic Word Problem Quadratics

04/15/17

h=80t-16t^2
h=height in feet t=time in seconds if h=96 feet, t=?
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Quadratic Equations Quadratic Word Problem

04/15/17

h=96t-16t^2
h=height in feet t=time in seconds if h=128, t=?  
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Quadratic Equations Quadratic Word Problem

04/15/17

h=128t-16t^2, where h is the height, in feet, above the ground after t seconds. After how many seconds will the rocket be at a height of 240 feet?
h=128t-16t^2 h=height in feet t=time in seconds when h=240, t=?
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Quadratic Equations Math Algebra Quadratic

04/11/17

Solve by Completing the Square
2x^2 - 5x = 6
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Quadratic Equations

04/10/17

A theater can seat 952952 people. The number of rows is 66 less than the number of seats in each row. How many rows of seats are there?
A theater can seat 952952 people. The number of rows is 66 less than the number of seats in each row. How many rows of seats are there?
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