What is the answer to sqrt(5-x)=5-x^2 ?

The answer to sqrt(5-x)=5-x^2 is x\approx-1.56155…,x\approx 1.79128…

Solve for x: sqrt(5-x)=5-x^2

The solution is x\approx-1.56155…,x\approx 1.79128…

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5 - x = 5 - x^{2}

x \approx - 1.56155 \dots, x \approx 1.79128 \dots

Solution steps

5 - x = 5 - x^{2}

Square both sides:

5 - x = 25 - 10 x^{2} + x^{4}

5 - x = 25 - 10 x^{2} + x^{4}

Solve

5 - x = 25 - 10 x^{2} + x^{4} : x \approx - 2.79128 \dots, x \approx 2.56155 \dots, x \approx - 1.56155 \dots, x \approx 1.79128 \dots

x \approx - 2.79128 \dots, x \approx 2.56155 \dots, x \approx - 1.56155 \dots, x \approx 1.79128 \dots

Verify Solutions:

x \approx - 2.79128 \dots

False

, x \approx 2.56155 \dots

False

, x \approx - 1.56155 \dots

True

, x \approx 1.79128 \dots

True

The solutions are

x \approx - 1.56155 \dots, x \approx 1.79128 \dots

x - 3 + 9 = x

5 x - 2 = x + 6

3 \cdot (x - 1)^{0.5} + 11 = 2 x

x - 10 + x + 5 = 5

2 x + 95 - 8 = 1

What is the answer to sqrt(5-x)=5-x^2 ?
The answer to sqrt(5-x)=5-x^2 is x\approx-1.56155…,x\approx 1.79128…
Solve for x: sqrt(5-x)=5-x^2
The solution is x\approx-1.56155…,x\approx 1.79128…