Question

Solve the equation (90−x)^1/2=x.

Answer 1

Answer:

x=30

Step-by-step explanation:

Answer 2

Answer:

x = 9,  - 10

Step-by-step explanation:

$(90 - x)^ {\frac{1}{2}} = x \\\\Squaring \ both \ sides \\\\(( 90 - x)^{ \frac{1}{2}})^{2} = x^2\\\\90 -x = x^2\\\\x^2 + x - 90= 0\\\\x^2 + 10x - 9x - 90 = 0\\\\x(x + 10) - 9 (x + 10) = 0\\\\(x - 9)(x + 10) = 0\\\\x = 9 , \ x = \ - 10$