Solve x^(2)-18x=-79

Evaluate

x^{2} - 18 x = - 79

Move the expression to the left side

x^{2} - 18 x + 79 = 0

Substitute a= 1,b= - 18 and c= 79 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{18 \pm ( - 18 ) ^{2} - 4 \times 79}{2}

Simplify the expression

More Steps

x = \frac{18 \pm 8}{2}

Simplify the radical expression

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x = \frac{18 \pm 2 2}{2}

Separate the equation into 2 possible cases

x = \frac{18 + 2 2}{2} x = \frac{18 - 2 2}{2}

Simplify the expression

More Steps

x = 9 + 2 x = \frac{18 - 2 2}{2}

Simplify the expression

More Steps

x = 9 + 2 x = 9 - 2

Solution

x_{1} = 9 - 2, x_{2} = 9 + 2

Alternative Form

x_{1} \approx 7.585786, x_{2} \approx 10.414214

Solve the quadratic equation