Solve 17x^2+24x-72=0

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

x_{1} = - \frac{12 + 6 38}{17}, x_{2} = \frac{- 12 + 6 38}{17}

Alternative Form

x_{1} \approx - 2.881558, x_{2} \approx 1.469793

Evaluate

17 x^{2} + 24 x - 72 = 0

Substitute a= 17,b= 24 and c= - 72 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 24 \pm 2 4 ^{2} - 4 \times 17 ( - 72 )}{2 \times 17}

Simplify the expression

x = \frac{- 24 \pm 2 4 ^{2} - 4 \times 17 ( - 72 )}{34}

Simplify the expression

More Steps

x = \frac{- 24 \pm 5472}{34}

Simplify the radical expression

More Steps

x = \frac{- 24 \pm 12 38}{34}

Separate the equation into 2 possible cases

x = \frac{- 24 + 12 38}{34} x = \frac{- 24 - 12 38}{34}

Simplify the expression

More Steps

x = \frac{- 12 + 6 38}{17} x = \frac{- 24 - 12 38}{34}

Simplify the expression

More Steps

x = \frac{- 12 + 6 38}{17} x = - \frac{12 + 6 38}{17}

Solution

x_{1} = - \frac{12 + 6 38}{17}, x_{2} = \frac{- 12 + 6 38}{17}

Alternative Form

x_{1} \approx - 2.881558, x_{2} \approx 1.469793

Show Solution