Solve x^2-2x 1=25

Evaluate

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

Multiply the terms

x^{2} - 2 x = 25

Move the expression to the left side

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

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

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

Simplify the expression

More Steps

x = \frac{2 \pm 104}{2}

Simplify the radical expression

More Steps

x = \frac{2 \pm 2 26}{2}

Separate the equation into 2 possible cases

x = \frac{2 + 2 26}{2} x = \frac{2 - 2 26}{2}

Simplify the expression

More Steps

x = 1 + 26 x = \frac{2 - 2 26}{2}

Simplify the expression

More Steps

x = 1 + 26 x = 1 - 26

Solution

x_{1} = 1 - 26, x_{2} = 1 + 26

Alternative Form

x_{1} \approx - 4.09902, x_{2} \approx 6.09902

Solve the quadratic equation