Question

If (x-(1-x)^1/2)^1/2=1 then find x

Answer 1

Step-by-step explanation:

1.) $(x-(1-x)^\frac{1}{2} )^\frac{1}{2}=1$

2.) $(x-0.5-x^2)^\frac{1}{2} =1$

3.) $x^\frac{1}{2}-0.25-x^\frac{1}{4}=1$

4.) $\frac{x}{2}-\frac{x}{4}=0.75$

5.) $\frac{2x}{4}-\frac{x}{4} =0.75$

6.) $4(\frac{2x}{4} - \frac{x}{-4}) =(0.75)4$

7.) $2x^{2} -x=3$

8.) $x^2-x =1.5$

9.)$x=1.5$