Answer :

Answer:

x = - 3 , x = 2

Step-by-step explanation:

given the quadratic equation

x² + x - 6 = 0 ← in standard form

solve the equation by factorising the left side

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (+ 1)

The required factors are + 3 and - 2 , since

+ 3 × - 2 = - 6 and + 3 - 2 = + 1 , then

(x + 3)(x - 2) = 0 ← equation in factored form

equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2

The solutions to the equation are x = - 3 , x = 2