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 8

Find the roots of the equation x² + 2x - 8 = 0.

If a quadratic equation has two distinct real roots, what can you say about its discriminant?

If the product of the roots of a quadratic equation is negative, what can you say about the signs of the roots?

If the quadratic equation x² + bx + 12 = 0 has roots 3 and -4, what is the value of b?

If the roots of a quadratic equation are 4 and -3, what is 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)?

If the sum of the roots of a quadratic equation is 7 and the product is 10, what is the equation?

Solve for x: 2x² - 8x = 0

Solve for x: 3x² - 12 = 0

Solve for x: x² - 9 = 0

Solve for x: x² + 6x + 5 = 0

Solve for x: x² + 7x + 10 = 0

Solve for x: x² = 16

Solve the quadratic equation x² - 5x + 6 = 0.

What is the sum of the roots of the equation 2x² - 5x + 3 = 0?

What is the value of 'a' in the equation 5x² - 3x + 7 = 0?

A ball is thrown upwards from the ground and its height h (in meters) after t seconds is given by h = -4.9t² + 19.6t. After how many seconds will the ball return to the ground?

A quadratic equation has roots that are both equal to 5. Write the equation in the form x² + bx + c = 0.

Explain why the equation x² + 4x + 8 = 0 does not have real roots.

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