Quadratic Equations

Math ⇒ Algebra

Quadratic Equations starts at 8 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Quadratic Equations. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 10

A ball is thrown upwards and its height h (in meters) after t seconds is given by h = -5t² + 20t + 2. What is the maximum height reached by the ball?

A quadratic equation has roots 5 and -2. What is the sum and product of the roots?

A quadratic equation has roots α and β. If α + β = 7 and αβ = 10, write the equation.

Find the roots of the equation x² + 2x + 1 = 0.

If one root of the equation x² + px + 12 = 0 is 3, what is the value of p?

If the discriminant of a quadratic equation is negative, what type of roots does it have?

If the equation x² + 6x + k = 0 has real roots, what is the range of values for k?

If the quadratic equation 2x² + kx + 8 = 0 has equal roots, what is the value of k?

If the quadratic equation x² + bx + 16 = 0 has roots 4 and -4, what is the value of b?

If the roots of a quadratic equation are 4 and -3, write the equation in standard form.

If the roots of a quadratic equation are both negative, what can you say about the signs of b and c in ax² + bx + c = 0 (a > 0)?

Solve for x: 3x² - 12 = 0.

Solve for x: 4x² - 4x + 1 = 0.

Solve for x: x² - 2x - 8 = 0.

Solve for x: x² + 7x + 10 = 0.

Solve the equation x² - 5x + 6 = 0.

State the quadratic formula used to solve ax² + bx + c = 0.

What is the value of the discriminant for the equation 2x² + 3x + 1 = 0?