Quadratic Equations MCQs with Answers

In the quadratic equation $ax^2 + bx + c = 0$, _ CANNOT be zero.

• A.$a$
• B.$b$
• C.$c$
• D.$x$

What type of roots does the equation $x^2 + 4 = 0$ have?

• A.Real and equal
• B.Real and distinct
• C.Imaginary
• D.None of these

If $a$, $b$, $c$ are positive real numbers in $9x^2 + bx + c = 0$, the roots will be _?

• A.Positive real numbers
• B.Negative real numbers
• C.Complex numbers with positive real part
• D.One positive and one negative real number

Past Paper MCQ

If a number is multiplied by two-third of itself, the value so obtained is 864. What is the number?

• A.$36$
• B.$32$
• C.$42$
• D.$48$

If the roots of a quadratic equation are $1 + \sqrt{5}$ and $1 - \sqrt{5}$, the quadratic equation is?

• A.$x^2 + 2x + 4 = 0$
• B.$x^2 + 2x - 4 = 0$
• C.$x^2 - 2x + 4 = 0$
• D.$x^2 - 2x - 4 = 0$

If the product of two numbers is $96$ and the sum is $35$, the greatest number would be ?

• A.$30$
• B.$24$
• C.$28$
• D.$32$

What is the factorization of the quadratic expression $2x^2 + 5x + 2$?

• A.$(x-2)(2x-1)$
• B.$(2x+2)(x+1)$
• C.$(x+2)(2x+1)$
• D.$(2x-2)(x-1)$

In a quadratic equation, the highest power of the variable is _?

• A.$1$
• B.$2$
• C.$3$
• D.$0$

If $x^2 - x = 12$ and $y^2 - y = 12$, then $x - y =$ ?

• A.$\pm 7$
• B.$\pm 5$
• C.$\pm 6$
• D.$\pm 4$

$4x^2 + 9 = 0$ is a?

• A.Linear equation
• B.Cubic equation
• C.Quadratic equation
• D.Biquadratic equation