Solve X^2 - 110X + 2792 = 0

Evaluate

X^{2} - 110 X + 2792 = 0

Substitute a= 1,b= - 110 and c= 2792 into the quadratic formula X = \frac{- b \pm b ^{2} - 4 a c}{2 a}

X = \frac{110 \pm ( - 110 ) ^{2} - 4 \times 2792}{2}

Simplify the expression

More Steps

X = \frac{110 \pm 932}{2}

Simplify the radical expression

More Steps

X = \frac{110 \pm 2 233}{2}

Separate the equation into 2 possible cases

X = \frac{110 + 2 233}{2} X = \frac{110 - 2 233}{2}

Simplify the expression

More Steps

X = 55 + 233 X = \frac{110 - 2 233}{2}

Simplify the expression

More Steps

X = 55 + 233 X = 55 - 233

Solution

X_{1} = 55 - 233, X_{2} = 55 + 233

Alternative Form

X_{1} \approx 39.735662, X_{2} \approx 70.264338

Solve the quadratic equation