What is the answer to x^2+x=7sqrt(x^2+x+2)-12 ?

The answer to x^2+x=7sqrt(x^2+x+2)-12 is x=1,x=-2,x=(-1+sqrt(93))/2 ,x=(-1-sqrt(93))/2

Solve for x: x^2+x=7sqrt(x^2+x+2)-12

The solution is x=1,x=-2,x=(-1+sqrt(93))/2 ,x=(-1-sqrt(93))/2

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x^{2} + x = 7 x^{2} + x + 2 - 12

x = 1, x = - 2, x = \frac{- 1 + 93}{2}, x = \frac{- 1 - 93}{2}

Decimal Notation

x = 1, x = - 2, x = 4.32182 \dots, x = - 5.32182 \dots

Solution steps

x^{2} + x = 7 x^{2} + x + 2 - 12

Remove square roots

x^{4} + 2 x^{3} + 25 x^{2} + 24 x + 144 = 49 x^{2} + 49 x + 98

Solve

x^{4} + 2 x^{3} + 25 x^{2} + 24 x + 144 = 49 x^{2} + 49 x + 98 : x = 1, x = - 2, x = \frac{- 1 + 93}{2}, x = \frac{- 1 - 93}{2}

x = 1, x = - 2, x = \frac{- 1 + 93}{2}, x = \frac{- 1 - 93}{2}

Verify Solutions:

x = 1

True

, x = - 2

True

, x = \frac{- 1 + 93}{2}

True

, x = \frac{- 1 - 93}{2}

True

The solutions are

x = 1, x = - 2, x = \frac{- 1 + 93}{2}, x = \frac{- 1 - 93}{2}

x - 6 x - 16 = 0

4 x + 9 = 5 x - 19

n, n = 1000000

2 x + 5 = 5

x, 2 x - 3 + 3 = 2 x

What is the answer to x^2+x=7sqrt(x^2+x+2)-12 ?
The answer to x^2+x=7sqrt(x^2+x+2)-12 is x=1,x=-2,x=(-1+sqrt(93))/2 ,x=(-1-sqrt(93))/2
Solve for x: x^2+x=7sqrt(x^2+x+2)-12
The solution is x=1,x=-2,x=(-1+sqrt(93))/2 ,x=(-1-sqrt(93))/2