Answer:
x = -3/4
Step-by-step explanation:
I assume the question is
√(x + 3) = 2x
Square both sides.
x + 3 = 4x²
4x² - x - 3 = 0
(4x + 3)(x - 1) = 0
4x + 3 = 0 or x - 1 = 0
x = -3/4 or x = 1
Check solution x = -3/4 in the original equation.
√(x + 3) = 2x
√(-3/4 + 3) = 2(-3/4)
This solution cannot work since the right side is negative, and a square root cannot equal a negative number.
Check solution x = 1 in the original equation.
√(x + 3) = 2x
√(1 + 3) = 2(1)
√4 = 2
2 = 2
Solution x = 1 works.
Answer: x = -3/4
