Solve 4350-2A-A^2

Question

Find the roots

A_{1} = - 1 - 4351, A_{2} = - 1 + 4351

Alternative Form

A_{1} \approx - 66.96211, A_{2} \approx 64.96211

Evaluate

4350 - 2 A - A^{2}

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

4350 - 2 A - A^{2} = 0

Rewrite in standard form

- A^{2} - 2 A + 4350 = 0

Multiply both sides

A^{2} + 2 A - 4350 = 0

Substitute a= 1,b= 2 and c= - 4350 into the quadratic formula A = \frac{- b \pm b ^{2} - 4 a c}{2 a}

A = \frac{- 2 \pm 2 ^{2} - 4 ( - 4350 )}{2}

Simplify the expression

More Steps

A = \frac{- 2 \pm 17404}{2}

Simplify the radical expression

More Steps

A = \frac{- 2 \pm 2 4351}{2}

Separate the equation into 2 possible cases

A = \frac{- 2 + 2 4351}{2} A = \frac{- 2 - 2 4351}{2}

Simplify the expression

More Steps

A = - 1 + 4351 A = \frac{- 2 - 2 4351}{2}

Simplify the expression

More Steps

A = - 1 + 4351 A = - 1 - 4351

Solution

A_{1} = - 1 - 4351, A_{2} = - 1 + 4351

Alternative Form

A_{1} \approx - 66.96211, A_{2} \approx 64.96211

Show Solution