OTHER CLASS X TOPICS

Arithmetic Progression

Polynomials

Probability

Quadratic Equations

Trigonometry

Mathematics Class X Quadratic Equations Finding the roots of a Quadratic Equation

Question

The roots of the quadratic equation $x^2 - 3x -10 = 0$ are

5, -2

5, 2

-5, -2

-3, -7

Solution

The correct answer is 5, -2

Explanation

$x^2 - 3x -10 = 0$
⇒

$x^2 - 5x + 2x -10 = 0$
⇒

$x(x - 5) + 2(x - 5) = 0$
⇒

$(x − 5)(x + 2)= 0$
⇒

$x = 5, -2$

The roots of the quadratic equation x2−3x−10=0x^2 - 3x -10 = 0 are