Solve x^2-16x=-5 - ScanMath

Evaluate

x^{2} - 16 x = - 5

Move the expression to the left side

x^{2} - 16 x + 5 = 0

Substitute a= 1,b= - 16 and c= 5 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{16 \pm ( - 16 ) ^{2} - 4 \times 5}{2}

Simplify the expression

More Steps

x = \frac{16 \pm 236}{2}

Simplify the radical expression

More Steps

x = \frac{16 \pm 2 59}{2}

Separate the equation into 2 possible cases

x = \frac{16 + 2 59}{2} x = \frac{16 - 2 59}{2}

Simplify the expression

More Steps

x = 8 + 59 x = \frac{16 - 2 59}{2}

Simplify the expression

More Steps

x = 8 + 59 x = 8 - 59

Solution

x_{1} = 8 - 59, x_{2} = 8 + 59

Alternative Form

x_{1} \approx 0.318854, x_{2} \approx 15.681146

Solve the quadratic equation