What are the solutions to the equation 17-x^2-18x=0 ?

The solutions to the equation 17-x^2-18x=0 are x=-9-7sqrt(2),x=7sqrt(2)-9

Find the zeros of 17-x^2-18x=0

The zeros of 17-x^2-18x=0 are x=-9-7sqrt(2),x=7sqrt(2)-9

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

x = - 9 - 72, x = 72 - 9

Decimal Notation

x = - 18.89949 \dots, x = 0.89949 \dots

Solution steps

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

Write in the standard form

a x^{2} + b x + c = 0

- x^{2} - 18 x + 17 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 18 ) \pm ( - 18 ) ^{2} - 4 ( - 1 ) \cdot 17}{2 ( - 1 )}

(- 18)^{2} - 4 (- 1) \cdot 17 = 142

x_{1, 2} = \frac{- ( - 18 ) \pm 14 2}{2 ( - 1 )}

Separate the solutions

x_{1} = \frac{- ( - 18 ) + 14 2}{2 ( - 1 )}, x_{2} = \frac{- ( - 18 ) - 14 2}{2 ( - 1 )}

x = \frac{- ( - 18 ) + 14 2}{2 ( - 1 )} : - 9 - 72

x = \frac{- ( - 18 ) - 14 2}{2 ( - 1 )} : 72 - 9

The solutions to the quadratic equation are:

x = - 9 - 72, x = 72 - 9

5 (x - 9)^{2} - 34 = - 14

2 x^{2} + x - 1 = 0

4 x^{2} + 208 = 0

4 x^{2} + 17 x + 18 = x^{2}

- x^{2} + 8 = 2 x

What are the solutions to the equation 17-x^2-18x=0 ?
The solutions to the equation 17-x^2-18x=0 are x=-9-7sqrt(2),x=7sqrt(2)-9
Find the zeros of 17-x^2-18x=0
The zeros of 17-x^2-18x=0 are x=-9-7sqrt(2),x=7sqrt(2)-9