Question

What is the solution to the equation below?
√x+3 = x-3

Answer 1

B) x = 6

Explanation:

first, square both sides: x + 3 = x^2 - 6x + 9 (using the (a+b)^2 identity)

second, move the x + 3 to the right side to get a quadratic that equals 0: x^2 - 7x + 6 = 0

solve & factor the quadratic: (x - 6) (x - 1), so the solutions are x = 6 and x = 1

x = 1 isn't an answer, so the answer is b) x = 6

hope this helps! <3