Solve 17x^2-48x-72=0

Evaluate

17 x^{2} - 48 x - 72 = 0

Substitute a= 17,b= - 48 and c= - 72 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{48 \pm ( - 48 ) ^{2} - 4 \times 17 ( - 72 )}{2 \times 17}

Simplify the expression

x = \frac{48 \pm ( - 48 ) ^{2} - 4 \times 17 ( - 72 )}{34}

Simplify the expression

More Steps

x = \frac{48 \pm 7200}{34}

Simplify the radical expression

More Steps

x = \frac{48 \pm 60 2}{34}

Separate the equation into 2 possible cases

x = \frac{48 + 60 2}{34} x = \frac{48 - 60 2}{34}

Simplify the expression

More Steps

x = \frac{24 + 30 2}{17} x = \frac{48 - 60 2}{34}

Simplify the expression

More Steps

x = \frac{24 + 30 2}{17} x = \frac{24 - 30 2}{17}

Solution

x_{1} = \frac{24 - 30 2}{17}, x_{2} = \frac{24 + 30 2}{17}

Alternative Form

x_{1} \approx - 1.083906, x_{2} \approx 3.907436

Solve the quadratic equation