What is the answer to sqrt(x)=2x^2-15 ?

The answer to sqrt(x)=2x^2-15 is x\approx 2.88962…

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sqrt(x)=2x^2-15

x = 2 x^{2} - 15

x \approx 2.88962 \dots

Solution steps

x = 2 x^{2} - 15

Square both sides:

x = 4 x^{4} - 60 x^{2} + 225

x = 4 x^{4} - 60 x^{2} + 225

Solve

x = 4 x^{4} - 60 x^{2} + 225 : x \approx 2.88962 \dots, x \approx 2.58760 \dots

x \approx 2.88962 \dots, x \approx 2.58760 \dots

Verify Solutions:

x \approx 2.88962 \dots

True

, x \approx 2.58760 \dots

False

The solution is

x \approx 2.88962 \dots

x + 10 = - 5

12 + 4 x + 2 x + 10 = 2

x^{4} = x^{2}

x - 6 = x - 3

3 x - 2 + x - 1 - 3 = 0

What is the answer to sqrt(x)=2x^2-15 ?
The answer to sqrt(x)=2x^2-15 is x\approx 2.88962…
Solve for x: sqrt(x)=2x^2-15
The solution is x\approx 2.88962…