Solve 10v^2 -8v=41

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

v_{1} = \frac{4 - 426}{10}, v_{2} = \frac{4 + 426}{10}

Alternative Form

v_{1} \approx - 1.663977, v_{2} \approx 2.463977

Evaluate

10 v^{2} - 8 v = 41

Move the expression to the left side

10 v^{2} - 8 v - 41 = 0

Substitute a= 10,b= - 8 and c= - 41 into the quadratic formula v = \frac{- b \pm b ^{2} - 4 a c}{2 a}

v = \frac{8 \pm ( - 8 ) ^{2} - 4 \times 10 ( - 41 )}{2 \times 10}

Simplify the expression

v = \frac{8 \pm ( - 8 ) ^{2} - 4 \times 10 ( - 41 )}{20}

Simplify the expression

More Steps

v = \frac{8 \pm 1704}{20}

Simplify the radical expression

More Steps

v = \frac{8 \pm 2 426}{20}

Separate the equation into 2 possible cases

v = \frac{8 + 2 426}{20} v = \frac{8 - 2 426}{20}

Simplify the expression

More Steps

v = \frac{4 + 426}{10} v = \frac{8 - 2 426}{20}

Simplify the expression

More Steps

v = \frac{4 + 426}{10} v = \frac{4 - 426}{10}

Solution

v_{1} = \frac{4 - 426}{10}, v_{2} = \frac{4 + 426}{10}

Alternative Form

v_{1} \approx - 1.663977, v_{2} \approx 2.463977

Show Solution