Quadratic Equations MCQs with Answers

The difference of two positive integers is $3$ and the sum of their squares is $89$. The integers are _?

• A.$3, 6$
• B.$4, 7$
• C.$6, 9$
• D.$5, 8$

If $-1$ is a root of $4x^3 - x^2 - 11x - 6 = 0$, then the other roots are _?

• A.$2$, $-\frac{3}{4}$
• B.$-2$, $\frac{3}{4}$
• C.$2$, $\frac{3}{4}$
• D.$-2$, $-\frac{3}{4}$

The root(s) of a quadratic equation is/are _?

• A.One
• B.Two
• C.Three
• D.None of these

Solve the equation: $2x^2 - 2 = 0$

• A.$x = \pm \sqrt{2}$
• B.$x = \pm 2$
• C.$x = 1$ only
• D.$x = \pm 1$

Past Paper MCQ

The sum of the squares of two positive integers is $100$ and the difference of their squares is $28$. What is the sum of the numbers?

• A.$12$
• B.$14$
• C.$16$
• D.$18$

The conditional equation $x^2 + x - 6 = 0$ is true for which values of $x$?

• A.$-2, -3$
• B.$2, -3$
• C.$-2, 3$
• D.$2, 3$

If two numbers are $-3$ and $-5$, with sum $-8$ and product $+15$, then which is the correct algebraic expression?

• A.$x^2 - 8x - 15$
• B.$x^2 + 8x + 15$
• C.$x^2 - 8x + 15$
• D.$x^2 + 8x - 15$

If the sum and product of the roots of a quadratic equation are $55$ and $66$ respectively, which of the following represents the correct quadratic equation?

• A.$x^2 - 55x + 66 = 0$
• B.$x^2 + 55x + 66 = 0$
• C.$x^2 - 55x - 66 = 0$
• D.$x^2 + 55x - 66 = 0$

If $(x - 2)(x + 3) = 0$, then $x =$ ?

• A.$2, 3$
• B.$-2, 3$
• C.$2, -3$
• D.$-2, -3$

Find the value of $k$ so that the sum of the roots of the equation $2x^2 + kx + 6 = 0$ is equal to four times the product of its roots.

• A.$-24$
• B.$24$
• C.$-12$
• D.$12$