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 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 2x^2 - 4x + 3 = 0.

If one root of the quadratic equation x^2 + px + 12 = 0 is 3, what is the value of p?

If the quadratic equation x^2 + bx + 16 = 0 has roots that are reciprocals of each other, what is the value of b?

If the roots of the equation 2x^2 + 5x + 3 = 0 are \alpha and \beta, find the value of \frac{1}{\alpha} + \frac{1}{\beta}.

If the roots of the equation x^2 - 4x + k = 0 are equal, what is the value of k?

If the roots of the quadratic equation ax^2 + bx + c = 0 are \alpha and \beta, 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: 4x^2 - 12x + 9 = 0

Solve for x: x^2 + 6x + 13 = 0

Solve the quadratic equation x^2 - 5x + 6 = 0.

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