Class 10 : math lesson 4 Quadratic Equations free online test and quiz : online mcq test for class 10 math

Quadratic Equations online mcq quiz

Quadratic Equations boostup points 

➤  A quadratic equation in the variable x is an equation of the form ax 2 + bx + c = 0, where a , b, c are real numbers, a ≠ 0.

➤ Roots of a Quadratic Equation:

⇒ A real number α is called a root of the quadratic equation ax 2 + bx + c = 0, a ≠ 0 if aα 2 + bα + c = 0.   x =α is a solution of the quadratic equation, or α satisfies the quadratic equation.

⇒ The zeroes of the quadratic polynomial ax2 + bx + c and the roots of the quadratic. Equationax2 + bx + c = 0 are the same.

➤ Solution of Quadratic Equation by Factorisation:

⇒ To factorise quadratic polynomials the middle term is split.

⇒ By factorizing the equation into linear factors and equating each factor to zero the roots are 

determined.

➤ Nature of roots based on the discriminant value

1. If D = 0 then the roots are real and equal.

2. If D > 0 then the roots are real and distinct (unequal)

3. If D < 0 then the roots are imaginary (not real)

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