What is the answer to (x^2)/4 =2sqrt(x)+1 ?

The answer to (x^2)/4 =2sqrt(x)+1 is x\approx 4.59973…

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(x^2)/4 =2sqrt(x)+1

\frac{x ^{2}}{4} = 2 x + 1

x \approx 4.59973 \dots

Solution steps

\frac{x ^{2}}{4} = 2 x + 1

Multiply both sides by

4

\frac{x ^{2}}{4} \cdot 4 = 2 x \cdot 4 + 1 \cdot 4

Simplify

x^{2} = 8 x + 4

Remove square roots

x^{4} - 8 x^{2} + 16 = 64 x

Solve

x^{4} - 8 x^{2} + 16 = 64 x : x \approx 0.24269 \dots, x \approx 4.59973 \dots

x \approx 0.24269 \dots, x \approx 4.59973 \dots

Verify Solutions:

x \approx 0.24269 \dots

False

, x \approx 4.59973 \dots

True

The solution is

x \approx 4.59973 \dots

- 2 x + 6 - 2 = 8 x

(\frac{x}{1 - x})^{- 0.93} = 1.205

23 + 13 + 23 yy = 13

a = a

3 x - 2 - x = 0

What is the answer to (x^2)/4 =2sqrt(x)+1 ?
The answer to (x^2)/4 =2sqrt(x)+1 is x\approx 4.59973…
Solve for x: (x^2)/4 =2sqrt(x)+1
The solution is x\approx 4.59973…