Question

x2 +5x - (a2 +a-6)=0

Answer 1

Answer:

Using quadratic formula :

Solve for x:

x^2 + 5 x - a^2 - a + 6 = 0

The left hand side factors into a product with three terms:

-(-x + a - 2) (x + a + 3) = 0

Multiply both sides by -1:

(-x + a - 2) (x + a + 3) = 0

Split into two equations:

-x + a - 2 = 0 or x + a + 3 = 0

Subtract a - 2 from both sides:

-x = 2 - a or x + a + 3 = 0

Multiply both sides by -1:

x = a - 2 or x + a + 3 = 0

Subtract a + 3 from both sides:

Answer: |

| x = a - 2 or x = -a - 3