What is the answer to (sqrt(x)+1)^2=100 ?

The answer to (sqrt(x)+1)^2=100 is x=81

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(sqrt(x)+1)^2=100

(x + 1)^{2} = 100

x = 81

Solution steps

(x + 1)^{2} = 100

Move

100

to the left side

(x)^{2} + 2 x - 99 = 0

Factor

(x)^{2} + 2 x - 99 : (x - 9) (x + 11)

(x - 9) (x + 11) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 9 = 0 or x + 11 = 0

Solve

x - 9 = 0 : x = 81

Solve

x + 11 = 0 :

No Solution for

x \in R

x = 81

Verify Solutions:

x = 81

True

The solution is

x = 81

y, x = y^{0.5}

y, x = 4 + y^{2}

x, 50 = 100 (x)^{24.1}

x + 17 = x + 5

x, 3 x - 1 = x^{2} - x

What is the answer to (sqrt(x)+1)^2=100 ?
The answer to (sqrt(x)+1)^2=100 is x=81
Solve for x: (sqrt(x)+1)^2=100
The solution is x=81