What is the answer to x^2=7-sqrt(7+x) ?

The answer to x^2=7-sqrt(7+x) is x=2,x=(1-sqrt(29))/2

Solve for x: x^2=7-sqrt(7+x)

The solution is x=2,x=(1-sqrt(29))/2

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Popular >

x^{2} = 7 - 7 + x

x = 2, x = \frac{1 - 29}{2}

Decimal Notation

x = 2, x = - 2.19258 \dots

Solution steps

x^{2} = 7 - 7 + x

Remove square roots

x^{4} - 14 x^{2} + 49 = 7 + x

Solve

x^{4} - 14 x^{2} + 49 = 7 + x : x = 2, x = - 3, x = \frac{1 + 29}{2}, x = \frac{1 - 29}{2}

x = 2, x = - 3, x = \frac{1 + 29}{2}, x = \frac{1 - 29}{2}

Verify Solutions:

x = 2

True

, x = - 3

False

, x = \frac{1 + 29}{2}

False

, x = \frac{1 - 29}{2}

True

The solutions are

x = 2, x = \frac{1 - 29}{2}

2 x - \frac{2}{x} = 0

3 x^{2} - 3 x - 4 x^{2} - x + 3 = 6

- 41 z + 10 + z = 10

x + 5 - 9 = - 12

What is the answer to x^2=7-sqrt(7+x) ?
The answer to x^2=7-sqrt(7+x) is x=2,x=(1-sqrt(29))/2
Solve for x: x^2=7-sqrt(7+x)
The solution is x=2,x=(1-sqrt(29))/2