Solve c+424-c^2 - ScanMath

Evaluate

c + 424 - c^{2}

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

c + 424 - c^{2} = 0

Rewrite in standard form

- c^{2} + c + 424 = 0

Multiply both sides

c^{2} - c - 424 = 0

Substitute a= 1,b= - 1 and c= - 424 into the quadratic formula c = \frac{- b \pm b ^{2} - 4 a c}{2 a}

c = \frac{1 \pm ( - 1 ) ^{2} - 4 ( - 424 )}{2}

Simplify the expression

More Steps

c = \frac{1 \pm 1697}{2}

Separate the equation into 2 possible cases

c = \frac{1 + 1697}{2} c = \frac{1 - 1697}{2}

Solution

c_{1} = \frac{1 - 1697}{2}, c_{2} = \frac{1 + 1697}{2}

Alternative Form

c_{1} \approx - 20.09733, c_{2} \approx 21.09733

Find the roots