Solve x^2-16x=-61

Evaluate

x^{2} - 16 x = - 61

Move the expression to the left side

x^{2} - 16 x + 61 = 0

Substitute a= 1,b= - 16 and c= 61 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{16 \pm ( - 16 ) ^{2} - 4 \times 61}{2}

Simplify the expression

More Steps

x = \frac{16 \pm 12}{2}

Simplify the radical expression

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x = \frac{16 \pm 2 3}{2}

Separate the equation into 2 possible cases

x = \frac{16 + 2 3}{2} x = \frac{16 - 2 3}{2}

Simplify the expression

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x = 8 + 3 x = \frac{16 - 2 3}{2}

Simplify the expression

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x = 8 + 3 x = 8 - 3

Solution

x_{1} = 8 - 3, x_{2} = 8 + 3

Alternative Form

x_{1} \approx 6.267949, x_{2} \approx 9.732051

Solve the quadratic equation