Solve 4x^2-24x=276

Evaluate

4 x^{2} - 24 x = 276

Move the expression to the left side

4 x^{2} - 24 x - 276 = 0

Substitute a= 4,b= - 24 and c= - 276 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{24 \pm ( - 24 ) ^{2} - 4 \times 4 ( - 276 )}{2 \times 4}

Simplify the expression

x = \frac{24 \pm ( - 24 ) ^{2} - 4 \times 4 ( - 276 )}{8}

Simplify the expression

More Steps

x = \frac{24 \pm 4992}{8}

Simplify the radical expression

More Steps

x = \frac{24 \pm 8 78}{8}

Separate the equation into 2 possible cases

x = \frac{24 + 8 78}{8} x = \frac{24 - 8 78}{8}

Simplify the expression

More Steps

x = 3 + 78 x = \frac{24 - 8 78}{8}

Simplify the expression

More Steps

x = 3 + 78 x = 3 - 78

Solution

x_{1} = 3 - 78, x_{2} = 3 + 78

Alternative Form

x_{1} \approx - 5.831761, x_{2} \approx 11.831761

Solve the quadratic equation