[tex] - 2 \sqrt{x + 5} + 10 = x[/tex]
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given the equation:
-2/√(x + 5) + 10 = x
Simplify
Solution:
In order to simplify the given equation, we simply need to multiply both sides by √(x + 5), to cancel out the fraction.
2/√(x + 5) + 10 = x
√(x + 5) 2/√(x + 5) + 10 = x √(x + 5)
2 + √(x + 5) = x √(x + 5)
Square both sides of th equation, in order to get cancel out the square root sign.
(2 + √(x + 5))^2 = (x √(x + 5))^2
4 + x + 5 = x^2 (x + 5)
x + 9 = x^3 + x^2
Transpose x + 9 on the other side of the equation, hence we must take note that in transposing a number, the sign changes.
= x^3 + x^2 - x - 9
Final answer:
= x^3 + x^2 - x - 9