What is the answer to sqrt(a-x)=x ?

The answer to sqrt(a-x)=x is x=(-1+sqrt(1+4a))/2 ,x=(-1-sqrt(1+4a))/2

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sqrt(a-x)=x

a - x = x

x = \frac{- 1 + 1 + 4 a}{2}, x = \frac{- 1 - 1 + 4 a}{2}

Solution steps

a - x = x

Square both sides:

a - x = x^{2}

a - x = x^{2}

Solve

a - x = x^{2} : x = \frac{- 1 + 1 + 4 a}{2}, x = \frac{- 1 - 1 + 4 a}{2}

x = \frac{- 1 + 1 + 4 a}{2}, x = \frac{- 1 - 1 + 4 a}{2}

Verify Solutions:

x = \frac{- 1 + 1 + 4 a}{2}

True

, x = \frac{- 1 - 1 + 4 a}{2}

True

The solutions are

x = \frac{- 1 + 1 + 4 a}{2}, x = \frac{- 1 - 1 + 4 a}{2}

5 x + 1 = 6

x - 8 4 x = 0

- x = 5

51 - 5 y = y - 11

2 \times 3 x + 2 = - 4

What is the answer to sqrt(a-x)=x ?
The answer to sqrt(a-x)=x is x=(-1+sqrt(1+4a))/2 ,x=(-1-sqrt(1+4a))/2