What is the answer to sqrt(x)=-1/8 x^2+4 ?

The answer to sqrt(x)=-1/8 x^2+4 is x=4

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sqrt(x)=-1/8 x^2+4

x = - \frac{1}{8} x^{2} + 4

x = 4

Solution steps

x = - \frac{1}{8} x^{2} + 4

Multiply both sides by

8

x \cdot 8 = - \frac{1}{8} x^{2} \cdot 8 + 4 \cdot 8

Simplify

x \cdot 8 = - x^{2} + 32

Square both sides:

64 x = x^{4} - 64 x^{2} + 1024

64 x = x^{4} - 64 x^{2} + 1024

Solve

64 x = x^{4} - 64 x^{2} + 1024 : x = 4, x \approx 7.32470 \dots

x = 4, x \approx 7.32470 \dots

Verify Solutions:

x = 4

True

, x \approx 7.32470 \dots

False

The solution is

x = 4

c - 4 + 2 c + 8 = 16

12 - n = 2 n - 12

8 - x^{2} = 3 x - 4

(x - 1) (x - 3) + 4 = x - 1

x - 5 x - 11 = 5

What is the answer to sqrt(x)=-1/8 x^2+4 ?
The answer to sqrt(x)=-1/8 x^2+4 is x=4
Solve for x: sqrt(x)=-1/8 x^2+4
The solution is x=4