What is the answer to sqrt(x)x-(4x-1)=2 ?

The answer to sqrt(x)x-(4x-1)=2 is x\approx 16.48885…

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sqrt(x)x-(4x-1)=2

x x - (4 x - 1) = 2

x \approx 16.48885 \dots

Solution steps

x x - (4 x - 1) = 2

Expand

x x - (4 x - 1) : x x - 4 x + 1

x x - 4 x + 1 = 2

Remove square roots

x^{3} = 16 x^{2} + 8 x + 1

Solve

x^{3} = 16 x^{2} + 8 x + 1 : x \approx 16.48885 \dots

x \approx 16.48885 \dots

Verify Solutions:

x \approx 16.48885 \dots

True

The solution is

x \approx 16.48885 \dots

(x + 1)^{2} - 5 = 2

x - 2 x - 7 = 5

(1 - x^{2})^{\frac{1}{2}} = 0

2 - x = 5 x

What is the answer to sqrt(x)x-(4x-1)=2 ?
The answer to sqrt(x)x-(4x-1)=2 is x\approx 16.48885…
Solve for x: sqrt(x)x-(4x-1)=2
The solution is x\approx 16.48885…