Answer:
x = - 1 , x = 3
Explanation:
given the quadratic equation
2x² - 4x - 6 = 0 ( divide through by 2 )
x² - 2x - 3 = 0
To factorise , consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (- 2)
the factors are + 1 and - 3 , since
+ 1 × - 3 = - 3 and + 1 - 3 = - 2
use these factors to split the x- term
x² + x - 3x - 3 = 0 ( factor the first/secnd and third/fourth terms )
x(x + 1) - 3(x + 1) = 0 ← factor out (x + 1) from each term
(x + 1)(x - 3) = 0 ← in factored form
equate each factor to zero and solve for x
x + 1 = 0 ( subtract 1 from both sides )
x = - 1
x - 3 = 0 ( add 3 to both sides )
x = 3
solutions are x = - 1 , x = 3