Question

Solve by factorization method : m²- 2m -24 = 0​

Answer 1

Answer:

m=6 or -4

Step-by-step explanation:

m^2 -2m -24 = 0

m^2-6m+4m -24=0

m(m-6)+4(m-6)=0

(m+4)(m-6)=0

Answer 2

EXPLANATION.

Quadratic equation.

⇒ m² - 2m - 24 = 0.

As we know that,

Factorizes the equation into middle term splits, we get.

⇒ m² - 6m + 4m - 24 = 0.

⇒ m(m - 6) + 4(m - 6) = 0.

⇒ (m + 4)(m - 6) = 0.

⇒ m = -4  and  m = 6.

                                                                                                                           

MORE INFORMATION.

Nature of the roots of the quadratic expression.

(1) = Real and different, if b² - 4ac > 0.

(2) = Rational and different, if b² - 4ac is a perfect square.

(3) = Real and equal, if b² - 4ac = 0.

(4) = If D < 0 Roots are imaginary and unequal or complex conjugate.