Quadratic Equations MCQs with Answers

The equation $ax^2 + 5x - 3 = 0$ has $x = 1$ as a solution. What is the other solution?

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

The sum of the roots of a quadratic equation is $2$ and the sum of the cubes of the roots is $98$. The equation is:

• A.$x^2 - 2x - 15 = 0$
• B.$x^2 + 2x - 15 = 0$
• C.$x^2 - 2x + 15 = 0$
• D.$x^2 + 2x + 15 = 0$

If $6x^2 - 17x + 12 = 0$, then the solutions are?

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

The sum of the roots of the equation $122x^2 - 7x + 4 = 0$ is?

• A.$-\frac{7}{122}$
• B.$\frac{4}{122}$
• C.$\frac{7}{122}$
• D.$\frac{7}{4}$

Find the value of $k$, if the sum of the squares of the roots of $x^2 - 3kx + 4k^2 = 0$ is equal to $\frac{25}{4}$.

• A.$\pm 1$
• B.$\pm 2$
• C.$\pm \frac{1}{2}$
• D.$\pm \frac{5}{2}$

Past Paper MCQ

The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is:

• A.$400$
• B.$425$
• C.$375$
• D.$450$

Sum of all the cube roots of unity is?

• A.$0$
• B.$1$
• C.$-1$
• D.$\omega$

What is the solution to the equation: $x^2 + 16 = 0$?

• A.$x = \pm 16i$
• B.$x = \pm 4$
• C.$x = \pm 4i$
• D.$x = -4$

If the sum of two numbers is $16$ and their product is $63$, then the smaller number is ?

• A.$7$
• B.$9$
• C.$8$
• D.$6$

The solution of $2x^2 - 6x = 0$ when $x \in \mathbb{W}$ is:

• A.$0$ only
• B.$3$ only
• C.$0, 3$
• D.$-3, 0$