Solve 40x^2 - 48x = 866

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

x_{1} = \frac{6 - 2201}{10}, x_{2} = \frac{6 + 2201}{10}

Alternative Form

x_{1} \approx - 4.091482, x_{2} \approx 5.291482

Evaluate

40 x^{2} - 48 x = 866

Move the expression to the left side

40 x^{2} - 48 x - 866 = 0

Substitute a= 40,b= - 48 and c= - 866 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{48 \pm ( - 48 ) ^{2} - 4 \times 40 ( - 866 )}{2 \times 40}

Simplify the expression

x = \frac{48 \pm ( - 48 ) ^{2} - 4 \times 40 ( - 866 )}{80}

Simplify the expression

More Steps

x = \frac{48 \pm 140864}{80}

Simplify the radical expression

More Steps

x = \frac{48 \pm 8 2201}{80}

Separate the equation into 2 possible cases

x = \frac{48 + 8 2201}{80} x = \frac{48 - 8 2201}{80}

Simplify the expression

More Steps

x = \frac{6 + 2201}{10} x = \frac{48 - 8 2201}{80}

Simplify the expression

More Steps

x = \frac{6 + 2201}{10} x = \frac{6 - 2201}{10}

Solution

x_{1} = \frac{6 - 2201}{10}, x_{2} = \frac{6 + 2201}{10}

Alternative Form

x_{1} \approx - 4.091482, x_{2} \approx 5.291482

Show Solution