Solve 3x^2-60x=-249

Evaluate

3 x^{2} - 60 x = - 249

Move the expression to the left side

3 x^{2} - 60 x + 249 = 0

Substitute a= 3,b= - 60 and c= 249 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{60 \pm ( - 60 ) ^{2} - 4 \times 3 \times 249}{2 \times 3}

Simplify the expression

x = \frac{60 \pm ( - 60 ) ^{2} - 4 \times 3 \times 249}{6}

Simplify the expression

More Steps

x = \frac{60 \pm 612}{6}

Simplify the radical expression

More Steps

x = \frac{60 \pm 6 17}{6}

Separate the equation into 2 possible cases

x = \frac{60 + 6 17}{6} x = \frac{60 - 6 17}{6}

Simplify the expression

More Steps

x = 10 + 17 x = \frac{60 - 6 17}{6}

Simplify the expression

More Steps

x = 10 + 17 x = 10 - 17

Solution

x_{1} = 10 - 17, x_{2} = 10 + 17

Alternative Form

x_{1} \approx 5.876894, x_{2} \approx 14.123106

Solve the quadratic equation