How to find the solution to a quadratic equation

Practice Questions

PSAT Math › How to find the solution to a quadratic equation

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1

Solve 3x2 + 10x = –3

2

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

3

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

4

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))?

5

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

6

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

7

Find all real solutions to the equation.

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

8

Solve for :

$4x^{2} + 9=3(x^{2}+4)$

9

Stuff

Note: Figure NOT drawn to scale.

Refer to the above diagram, which shows Rectangle with .

is the midpoint of $\overline{EC}$ ; $\Delta ART \sim \Delta NEA$ ;

Evaluate (to the nearest tenth, if applicable).

10

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

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