Answer:
x = 2 , x = 5
Explanation:
assuming you mean
= x + 1 ( square both sides to clear the radical )
(
)² = (x + 1)² ← expand using FOIL
9x - 9 = x² + 2x + 1 ( subtract 9x from both sides )
- 9 = x² - 7x + 1 ( add 9 to both sides )
0 = x² - 7x + 10 ← factor the quadratic
consider the factors of the constant term (+ 10) which sum to give the coefficient of the x- term (- 7)
the factors are - 2 and - 5 , since
- 2 × - 5 = + 10 and - 2 - 5 = - 7 , then
(x - 2)(x - 5) = 0
equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x - 5 = 0 ⇒ x = 5
As a check
substitute these values into the equation and if both sides are equal then they are the solutions.
x = 2
left side =
=
=
= 3
right side = 2 + 1 = 3
left side = right side , so x = 2 is a solution
x = 5
left side =
=
=
= 6
right side = 5 + 1 = 6
left side = right side, so x = 5 is a solution