Solve x^2-6x 9=25

Evaluate

x^{2} - 6 x \times 9 = 25

Multiply the terms

x^{2} - 54 x = 25

Move the expression to the left side

x^{2} - 54 x - 25 = 0

Substitute a= 1,b= - 54 and c= - 25 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{54 \pm ( - 54 ) ^{2} - 4 ( - 25 )}{2}

Simplify the expression

More Steps

x = \frac{54 \pm 3016}{2}

Simplify the radical expression

More Steps

x = \frac{54 \pm 2 754}{2}

Separate the equation into 2 possible cases

x = \frac{54 + 2 754}{2} x = \frac{54 - 2 754}{2}

Simplify the expression

More Steps

x = 27 + 754 x = \frac{54 - 2 754}{2}

Simplify the expression

More Steps

x = 27 + 754 x = 27 - 754

Solution

x_{1} = 27 - 754, x_{2} = 27 + 754

Alternative Form

x_{1} \approx - 0.45906, x_{2} \approx 54.45906

Solve the quadratic equation