Solve x^2-15x 7=-6x-1

Evaluate

x^{2} - 15 x \times 7 = - 6 x - 1

Multiply the terms

x^{2} - 105 x = - 6 x - 1

Move the expression to the left side

x^{2} - 99 x + 1 = 0

Substitute a= 1,b= - 99 and c= 1 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{99 \pm ( - 99 ) ^{2} - 4}{2}

Simplify the expression

More Steps

x = \frac{99 \pm 9797}{2}

Separate the equation into 2 possible cases

x = \frac{99 + 9797}{2} x = \frac{99 - 9797}{2}

Solution

x_{1} = \frac{99 - 9797}{2}, x_{2} = \frac{99 + 9797}{2}

Alternative Form

x_{1} \approx 0.010102, x_{2} \approx 98.989898

Solve the quadratic equation