What are the solutions to the equation x^2-18x=6 ?

The solutions to the equation x^2-18x=6 are x=9+sqrt(87),x=9-sqrt(87)

Find the zeros of x^2-18x=6

The zeros of x^2-18x=6 are x=9+sqrt(87),x=9-sqrt(87)

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x^{2} - 18 x = 6

x = 9 + 87, x = 9 - 87

Decimal Notation

x = 18.32737 \dots, x = - 0.32737 \dots

Solution steps

x^{2} - 18 x = 6

Move

6

to the left side

x^{2} - 18 x - 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 18 ) \pm ( - 18 ) ^{2} - 4 \cdot 1 \cdot ( - 6 )}{2 \cdot 1}

(- 18)^{2} - 4 \cdot 1 \cdot (- 6) = 287

x_{1, 2} = \frac{- ( - 18 ) \pm 2 87}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 18 ) + 2 87}{2 \cdot 1}, x_{2} = \frac{- ( - 18 ) - 2 87}{2 \cdot 1}

x = \frac{- ( - 18 ) + 2 87}{2 \cdot 1} : 9 + 87

x = \frac{- ( - 18 ) - 2 87}{2 \cdot 1} : 9 - 87

The solutions to the quadratic equation are:

x = 9 + 87, x = 9 - 87

y, y^{2} = x (3 - x)^{2}

- 5 (x - 3) + 2 = \frac{1}{2} x (x - 2)

x^{2} - 2 x + 1 = x + 1

3 x^{2} - 5 x = - 1

x^{2} + 9 x + 17 = 0

What are the solutions to the equation x^2-18x=6 ?
The solutions to the equation x^2-18x=6 are x=9+sqrt(87),x=9-sqrt(87)
Find the zeros of x^2-18x=6
The zeros of x^2-18x=6 are x=9+sqrt(87),x=9-sqrt(87)