Solving Quadratic Equations

Practice Questions

GMAT Quantitative Reasoning › Solving Quadratic Equations

Questions

6

1

Consider the equation $x^{2} +Bx = C$

How many real solutions does this equation have?

Statement 1: There exists two different real numbers such that and

Statement 2: is a positive integer.

2

Let be two positive integers. How many real solutions does the equation $x^{2} + Bx + C = 0$ have?

Statement 1: is a perfect square of an integer.

Statement 2: $C = \left ( \frac{B}{2} \right ) ^{2}$

3

What are the solutions of $5x^{2}-4x-3$ in the most simplified form?

4

Does the solution set of the following quadratic equation comprise two real solutions, one real solution, or one imaginary solution?

$Ax^{2} -3Ax + B = 0$

Statement 1:

Statement 2:

5

is a positive integer.

True or false?

$x^{2} - 10x +24 = 0$

Statement 1: is an even integer

Statement 2:

6

is a positive integer.

True or false:

$x^{2} - 6x + 8 = 0$

Statement 1: is an even integer

Statement 2:

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