Question

Find the value of x, if a+1=0 and `x^2 + ax – 6 = 0`  

Answer 1

If a + 1 = 0, then a = −1
Put this value in the given equation x2 + ax − 6 = 0
`x^2 – x – 6 = 0`
⟹ `x^2 – 3x + 2x − 6 = 0`
⟹` x(x – 3) + 2 (x – 3) = 0`
⟹` (x – 3) (x + 2) = 0`
If `x – 3 = 0  "Or"  x + 2 = 0`
Then `x = 3  "Or"  x = −2.`