Solve (x-5)*x17=187

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

x_{1} = \frac{5 - 69}{2}, x_{2} = \frac{5 + 69}{2}

Alternative Form

x_{1} \approx - 1.653312, x_{2} \approx 6.653312

Evaluate

(x - 5) x \times 17 = 187

Multiply the terms

More Steps

17 x (x - 5) = 187

Expand the expression

More Steps

17 x^{2} - 85 x = 187

Move the expression to the left side

17 x^{2} - 85 x - 187 = 0

Substitute a= 17,b= - 85 and c= - 187 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{85 \pm ( - 85 ) ^{2} - 4 \times 17 ( - 187 )}{2 \times 17}

Simplify the expression

x = \frac{85 \pm ( - 85 ) ^{2} - 4 \times 17 ( - 187 )}{34}

Simplify the expression

More Steps

x = \frac{85 \pm 19941}{34}

Simplify the radical expression

More Steps

x = \frac{85 \pm 17 69}{34}

Separate the equation into 2 possible cases

x = \frac{85 + 17 69}{34} x = \frac{85 - 17 69}{34}

Simplify the expression

More Steps

x = \frac{5 + 69}{2} x = \frac{85 - 17 69}{34}

Simplify the expression

More Steps

x = \frac{5 + 69}{2} x = \frac{5 - 69}{2}

Solution

x_{1} = \frac{5 - 69}{2}, x_{2} = \frac{5 + 69}{2}

Alternative Form

x_{1} \approx - 1.653312, x_{2} \approx 6.653312

Show Solution