Solve 71x^(2)-112x-1024

Question

Find the roots

x_{1} = \frac{56 - 8 1185}{71}, x_{2} = \frac{56 + 8 1185}{71}

Alternative Form

x_{1} \approx - 3.090009, x_{2} \approx 4.667474

Evaluate

71 x^{2} - 112 x - 1024

To find the roots of the expression,set the expression equal to 0

71 x^{2} - 112 x - 1024 = 0

Substitute a= 71,b= - 112 and c= - 1024 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{112 \pm ( - 112 ) ^{2} - 4 \times 71 ( - 1024 )}{2 \times 71}

Simplify the expression

x = \frac{112 \pm ( - 112 ) ^{2} - 4 \times 71 ( - 1024 )}{142}

Simplify the expression

More Steps

x = \frac{112 \pm 303360}{142}

Simplify the radical expression

More Steps

x = \frac{112 \pm 16 1185}{142}

Separate the equation into 2 possible cases

x = \frac{112 + 16 1185}{142} x = \frac{112 - 16 1185}{142}

Simplify the expression

More Steps

x = \frac{56 + 8 1185}{71} x = \frac{112 - 16 1185}{142}

Simplify the expression

More Steps

x = \frac{56 + 8 1185}{71} x = \frac{56 - 8 1185}{71}

Solution

x_{1} = \frac{56 - 8 1185}{71}, x_{2} = \frac{56 + 8 1185}{71}

Alternative Form

x_{1} \approx - 3.090009, x_{2} \approx 4.667474

Show Solution