Solve h^2 - 8h = 1

Evaluate

h^{2} - 8 h = 1

Move the expression to the left side

h^{2} - 8 h - 1 = 0

Substitute a= 1,b= - 8 and c= - 1 into the quadratic formula h = \frac{- b \pm b ^{2} - 4 a c}{2 a}

h = \frac{8 \pm ( - 8 ) ^{2} - 4 ( - 1 )}{2}

Simplify the expression

More Steps

h = \frac{8 \pm 68}{2}

Simplify the radical expression

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h = \frac{8 \pm 2 17}{2}

Separate the equation into 2 possible cases

h = \frac{8 + 2 17}{2} h = \frac{8 - 2 17}{2}

Simplify the expression

More Steps

h = 4 + 17 h = \frac{8 - 2 17}{2}

Simplify the expression

More Steps

h = 4 + 17 h = 4 - 17

Solution

h_{1} = 4 - 17, h_{2} = 4 + 17

Alternative Form

h_{1} \approx - 0.123106, h_{2} \approx 8.123106

Solve the quadratic equation