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 12

A ball is thrown upwards and its height h (in meters) after t seconds is given by h = -5t² + 20t + 2. After how many seconds will the ball hit the ground?

A quadratic equation has roots 2 and -3. Write the equation in standard form.

Describe the effect on the graph of y = x² if the equation is changed to y = -x².

Find the discriminant of the equation 2x² - 4x + 3 = 0.

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

If the quadratic equation x² + bx + 16 = 0 has roots that are reciprocals of each other, what is the value of b?

If the roots of the equation 2x² + 5x + 3 = 0 are α and β, find the value of 1/α + 1/β.

If the roots of the equation x² - 4x + k = 0 are equal, what is the value of k?

If the roots of the quadratic equation ax² + bx + c = 0 are α and β, express the equation in terms of its roots.

If the sum and product of the roots of a quadratic equation are 5 and 6 respectively, write the equation.

Solve for x: 4x² - 12x + 9 = 0

Solve for x: x² + 6x + 13 = 0

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

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

What is the sum of the roots of the equation 3x² - 7x + 2 = 0?