Solve x^(2)-8x 1=25

Evaluate

x^{2} - 8 x \times 1 = 25

Multiply the terms

x^{2} - 8 x = 25

Move the expression to the left side

x^{2} - 8 x - 25 = 0

Substitute a= 1,b= - 8 and c= - 25 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{8 \pm ( - 8 ) ^{2} - 4 ( - 25 )}{2}

Simplify the expression

More Steps

x = \frac{8 \pm 164}{2}

Simplify the radical expression

More Steps

x = \frac{8 \pm 2 41}{2}

Separate the equation into 2 possible cases

x = \frac{8 + 2 41}{2} x = \frac{8 - 2 41}{2}

Simplify the expression

More Steps

x = 4 + 41 x = \frac{8 - 2 41}{2}

Simplify the expression

More Steps

x = 4 + 41 x = 4 - 41

Solution

x_{1} = 4 - 41, x_{2} = 4 + 41

Alternative Form

x_{1} \approx - 2.403124, x_{2} \approx 10.403124

Solve the quadratic equation