How to find the solution to a quadratic equation

Practice Questions

GRE Quantitative Reasoning › How to find the solution to a quadratic equation

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1

What is the sum of all the values of that satisfy:

2

Solve for x: (x2 – x) / (x – 1) = 1

3

If $x(x^2-5x+3)=-9, \ x>0,\ and \ y^2+y=2$ then which of the following is a possible value for ?

4

Solve 3x2 + 10x = –3

5

Let f(x) = 2_x_2 – 4_x_ + 1 and g(x) = (_x_2 + 16)(1/2). If k is a negative number such that f(k) = 31, then what is the value of (f(g(k))?

6

The expression $x^{2} - 8x +12$ is equal to 0 when $x = 2$ and $x = ?$

7

Two consecutive positive numbers have a product of 420. What is the sum of the two numbers?

8

A rectangle has a perimeter of $50\ m$ and an area of $150\ m^{2}$ What is the difference between the length and width?

9

Find all real solutions to the equation.

$x{^{2}+6x-16=0$

10

Two consecutive positive multiples of three have a product of 504. What is the sum of the two numbers?

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