What is the answer to x^{1/2}=(x-6)^2 ?

The answer to x^{1/2}=(x-6)^2 is x\approx 4.54027…,x\approx 7.66384…

Solve for x: x^{1/2}=(x-6)^2

The solution is x\approx 4.54027…,x\approx 7.66384…

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x^{\frac{1}{2}} = (x - 6)^{2}

x \approx 4.54027 \dots, x \approx 7.66384 \dots

Solution steps

x^{\frac{1}{2}} = (x - 6)^{2}

Square both sides:

x = x^{4} - 24 x^{3} + 216 x^{2} - 864 x + 1296

x = x^{4} - 24 x^{3} + 216 x^{2} - 864 x + 1296

Solve

x = x^{4} - 24 x^{3} + 216 x^{2} - 864 x + 1296 : x \approx 4.54027 \dots, x \approx 7.66384 \dots

x \approx 4.54027 \dots, x \approx 7.66384 \dots

Verify Solutions:

x \approx 4.54027 \dots

True

, x \approx 7.66384 \dots

True

The solutions are

x \approx 4.54027 \dots, x \approx 7.66384 \dots

2 = m - 4

x^{2} - 4 - x^{2} + 4 = 0

3 - x = 1

(2 x + 1)^{2} = \frac{1}{2}

\frac{3600}{12.96} = \frac{900}{12.96 - 2 a}

What is the answer to x^{1/2}=(x-6)^2 ?
The answer to x^{1/2}=(x-6)^2 is x\approx 4.54027…,x\approx 7.66384…
Solve for x: x^{1/2}=(x-6)^2
The solution is x\approx 4.54027…,x\approx 7.66384…