How to find the solution to a quadratic equation

Practice Questions

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

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1

Consider the equation:

$3 x^{2} + 48 =$ _________

Fill in the blank with a real constant to form an equation with exactly one real solution.

2

Consider the equation:

$3x^{2} + 7x =$ __________

Fill in the blank with a real constant to form an equation with exactly one real solution.

3

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

4

Solve for x: (x2 – x) / (x – 1) = 1

5

Evaluate .

6

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

7

Solve 3x2 + 10x = –3

8

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))?

9

Consider the equation

$4 x ^{2}+ 21 = 5x$ .

Which of the following statements correctly describes its solution set?

10

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

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