Solve 1600-40y-40y y

Question

Simplify the expression

1600 - 40 y - 40 y^{2}

Show Solution

40 (40 - y - y^{2})

Show Solution

y_{1} = - \frac{1 + 161}{2}, y_{2} = \frac{- 1 + 161}{2}

Alternative Form

y_{1} \approx - 6.844289, y_{2} \approx 5.844289

Evaluate

1600 - 40 y - 40 y \times y

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

1600 - 40 y - 40 y \times y = 0

Multiply the terms

1600 - 40 y - 40 y^{2} = 0

Rewrite in standard form

- 40 y^{2} - 40 y + 1600 = 0

Multiply both sides

40 y^{2} + 40 y - 1600 = 0

Substitute a= 40,b= 40 and c= - 1600 into the quadratic formula y = \frac{- b \pm b ^{2} - 4 a c}{2 a}

y = \frac{- 40 \pm 4 0 ^{2} - 4 \times 40 ( - 1600 )}{2 \times 40}

Simplify the expression

y = \frac{- 40 \pm 4 0 ^{2} - 4 \times 40 ( - 1600 )}{80}

Simplify the expression

More Steps

y = \frac{- 40 \pm 257600}{80}

Simplify the radical expression

More Steps

y = \frac{- 40 \pm 40 161}{80}

Separate the equation into 2 possible cases

y = \frac{- 40 + 40 161}{80} y = \frac{- 40 - 40 161}{80}

Simplify the expression

More Steps

y = \frac{- 1 + 161}{2} y = \frac{- 40 - 40 161}{80}

Simplify the expression

More Steps

y = \frac{- 1 + 161}{2} y = - \frac{1 + 161}{2}

Solution

y_{1} = - \frac{1 + 161}{2}, y_{2} = \frac{- 1 + 161}{2}

Alternative Form

y_{1} \approx - 6.844289, y_{2} \approx 5.844289

Show Solution