Solve -6y 139y=8y-3

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

y_{1} = - \frac{4 + 2518}{834}, y_{2} = \frac{- 4 + 2518}{834}

Alternative Form

y_{1} \approx - 0.064964, y_{2} \approx 0.055371

Evaluate

- 6 y \times 139 y = 8 y - 3

Multiply

More Steps

- 834 y^{2} = 8 y - 3

Move the expression to the left side

- 834 y^{2} - 8 y + 3 = 0

Multiply both sides

834 y^{2} + 8 y - 3 = 0

Substitute a= 834,b= 8 and c= - 3 into the quadratic formula y = \frac{- b \pm b ^{2} - 4 a c}{2 a}

y = \frac{- 8 \pm 8 ^{2} - 4 \times 834 ( - 3 )}{2 \times 834}

Simplify the expression

y = \frac{- 8 \pm 8 ^{2} - 4 \times 834 ( - 3 )}{1668}

Simplify the expression

More Steps

y = \frac{- 8 \pm 10072}{1668}

Simplify the radical expression

More Steps

y = \frac{- 8 \pm 2 2518}{1668}

Separate the equation into 2 possible cases

y = \frac{- 8 + 2 2518}{1668} y = \frac{- 8 - 2 2518}{1668}

Simplify the expression

More Steps

y = \frac{- 4 + 2518}{834} y = \frac{- 8 - 2 2518}{1668}

Simplify the expression

More Steps

y = \frac{- 4 + 2518}{834} y = - \frac{4 + 2518}{834}

Solution

y_{1} = - \frac{4 + 2518}{834}, y_{2} = \frac{- 4 + 2518}{834}

Alternative Form

y_{1} \approx - 0.064964, y_{2} \approx 0.055371

Show Solution