What are the solutions to the equation x^2+18x-111=0 ?

The solutions to the equation x^2+18x-111=0 are x=-9+8sqrt(3),x=-9-8sqrt(3)

Find the zeros of x^2+18x-111=0

The zeros of x^2+18x-111=0 are x=-9+8sqrt(3),x=-9-8sqrt(3)

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x^{2} + 18 x - 111 = 0

x = - 9 + 83, x = - 9 - 83

Decimal Notation

x = 4.85640 \dots, x = - 22.85640 \dots

Solution steps

x^{2} + 18 x - 111 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 18 \pm 1 8 ^{2} - 4 \cdot 1 \cdot ( - 111 )}{2 \cdot 1}

1 8^{2} - 4 \cdot 1 \cdot (- 111) = 163

x_{1, 2} = \frac{- 18 \pm 16 3}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 18 + 16 3}{2 \cdot 1}, x_{2} = \frac{- 18 - 16 3}{2 \cdot 1}

x = \frac{- 18 + 16 3}{2 \cdot 1} : - 9 + 83

x = \frac{- 18 - 16 3}{2 \cdot 1} : - 9 - 83

The solutions to the quadratic equation are:

x = - 9 + 83, x = - 9 - 83

3 x (4 x + 5) = 7 (4 x + 5)

w^{2} - 25 = 0

5 x^{2} - 15 x + 9 = 0

x, x^{2} + k x + 1 = 0

(4 x + 2) (x - 4) = 13 (x - 10)

What are the solutions to the equation x^2+18x-111=0 ?
The solutions to the equation x^2+18x-111=0 are x=-9+8sqrt(3),x=-9-8sqrt(3)
Find the zeros of x^2+18x-111=0
The zeros of x^2+18x-111=0 are x=-9+8sqrt(3),x=-9-8sqrt(3)