Solve x^2-8x 14=1

Evaluate

x^{2} - 8 x \times 14 = 1

Multiply the terms

x^{2} - 112 x = 1

Move the expression to the left side

x^{2} - 112 x - 1 = 0

Substitute a= 1,b= - 112 and c= - 1 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{112 \pm ( - 112 ) ^{2} - 4 ( - 1 )}{2}

Simplify the expression

More Steps

x = \frac{112 \pm 12548}{2}

Simplify the radical expression

More Steps

x = \frac{112 \pm 2 3137}{2}

Separate the equation into 2 possible cases

x = \frac{112 + 2 3137}{2} x = \frac{112 - 2 3137}{2}

Simplify the expression

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x = 56 + 3137 x = \frac{112 - 2 3137}{2}

Simplify the expression

More Steps

x = 56 + 3137 x = 56 - 3137

Solution

x_{1} = 56 - 3137, x_{2} = 56 + 3137

Alternative Form

x_{1} \approx - 0.008928, x_{2} \approx 112.008928

Solve the quadratic equation