Solve 7000-1A-1-A^2

Evaluate

7000 - 1 \times A - 1 - A^{2}

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

7000 - 1 \times A - 1 - A^{2} = 0

Any expression multiplied by 1 remains the same

7000 - A - 1 - A^{2} = 0

Subtract the numbers

6999 - A - A^{2} = 0

Rewrite in standard form

- A^{2} - A + 6999 = 0

Multiply both sides

A^{2} + A - 6999 = 0

Substitute a= 1,b= 1 and c= - 6999 into the quadratic formula A = \frac{- b \pm b ^{2} - 4 a c}{2 a}

A = \frac{- 1 \pm 1 ^{2} - 4 ( - 6999 )}{2}

Simplify the expression

More Steps

A = \frac{- 1 \pm 27997}{2}

Separate the equation into 2 possible cases

A = \frac{- 1 + 27997}{2} A = \frac{- 1 - 27997}{2}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

A = \frac{- 1 + 27997}{2} A = - \frac{1 + 27997}{2}

Solution

A_{1} = - \frac{1 + 27997}{2}, A_{2} = \frac{- 1 + 27997}{2}

Alternative Form

A_{1} \approx - 84.16152, A_{2} \approx 83.16152

Simplify the expression