What is the answer to (-sqrt(y)+y)^2-1=0 ?

The answer to (-sqrt(y)+y)^2-1=0 is y=(3+sqrt(5))/2

Solve for y: (-sqrt(y)+y)^2-1=0

The solution is y=(3+sqrt(5))/2

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(- y + y)^{2} - 1 = 0

y = \frac{3 + 5}{2}

Decimal Notation

y = 2.61803 \dots

Solution steps

(- y + y)^{2} - 1 = 0

Factor

(- y + y)^{2} - 1 : (- y + y + 1) (- y + y - 1)

(- y + y + 1) (- y + y - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

- y + y + 1 = 0 or - y + y - 1 = 0

Solve

- y + y + 1 = 0 :

No Solution for

y \in R

Solve

- y + y - 1 = 0 : y = \frac{3 + 5}{2}

y = \frac{3 + 5}{2}

Verify Solutions:

y = \frac{3 + 5}{2}

True

The solution is

y = \frac{3 + 5}{2}

((x - 5)^{\frac{3}{4}})^{4} = 27

y, x = 4 - y + 9

y, x = 4 - y + 7

\frac{x}{4} = x

What is the answer to (-sqrt(y)+y)^2-1=0 ?
The answer to (-sqrt(y)+y)^2-1=0 is y=(3+sqrt(5))/2
Solve for y: (-sqrt(y)+y)^2-1=0
The solution is y=(3+sqrt(5))/2