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