Solve r^2 - 12r = -1

Evaluate

r^{2} - 12 r = - 1

Move the expression to the left side

r^{2} - 12 r + 1 = 0

Substitute a= 1,b= - 12 and c= 1 into the quadratic formula r = \frac{- b \pm b ^{2} - 4 a c}{2 a}

r = \frac{12 \pm ( - 12 ) ^{2} - 4}{2}

Simplify the expression

More Steps

r = \frac{12 \pm 140}{2}

Simplify the radical expression

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r = \frac{12 \pm 2 35}{2}

Separate the equation into 2 possible cases

r = \frac{12 + 2 35}{2} r = \frac{12 - 2 35}{2}

Simplify the expression

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r = 6 + 35 r = \frac{12 - 2 35}{2}

Simplify the expression

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r = 6 + 35 r = 6 - 35

Solution

r_{1} = 6 - 35, r_{2} = 6 + 35

Alternative Form

r_{1} \approx 0.08392, r_{2} \approx 11.91608

Solve the quadratic equation