What is the answer to x+8=7sqrt(x) ?

The answer to x+8=7sqrt(x) is x=(33+7sqrt(17))/2 ,x=(33-7sqrt(17))/2

Solve for x: x+8=7sqrt(x)

The solution is x=(33+7sqrt(17))/2 ,x=(33-7sqrt(17))/2

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x + 8 = 7 x

x = \frac{33 + 7 17}{2}, x = \frac{33 - 7 17}{2}

Decimal Notation

x = 30.93086 \dots, x = 2.06913 \dots

Solution steps

x + 8 = 7 x

Square both sides:

x^{2} + 16 x + 64 = 49 x

x^{2} + 16 x + 64 = 49 x

Solve

x^{2} + 16 x + 64 = 49 x : x = \frac{33 + 7 17}{2}, x = \frac{33 - 7 17}{2}

x = \frac{33 + 7 17}{2}, x = \frac{33 - 7 17}{2}

Verify Solutions:

x = \frac{33 + 7 17}{2}

True

, x = \frac{33 - 7 17}{2}

True

The solutions are

x = \frac{33 + 7 17}{2}, x = \frac{33 - 7 17}{2}

x^{2} = x + 1

27 - 2 x = x - 3

w = 9 w - 18

(x + 2) (x - 2) = 0

x, y = 14 x

What is the answer to x+8=7sqrt(x) ?
The answer to x+8=7sqrt(x) is x=(33+7sqrt(17))/2 ,x=(33-7sqrt(17))/2
Solve for x: x+8=7sqrt(x)
The solution is x=(33+7sqrt(17))/2 ,x=(33-7sqrt(17))/2