Solve 3x^2-75x-150

Question

Factor the expression

3 (x^{2} - 25 x - 50)

Show Solution

x_{1} = \frac{25 - 5 33}{2}, x_{2} = \frac{25 + 5 33}{2}

Alternative Form

x_{1} \approx - 1.861407, x_{2} \approx 26.861407

Evaluate

3 x^{2} - 75 x - 150

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

3 x^{2} - 75 x - 150 = 0

Substitute a= 3,b= - 75 and c= - 150 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{75 \pm ( - 75 ) ^{2} - 4 \times 3 ( - 150 )}{2 \times 3}

Simplify the expression

x = \frac{75 \pm ( - 75 ) ^{2} - 4 \times 3 ( - 150 )}{6}

Simplify the expression

More Steps

x = \frac{75 \pm 7425}{6}

Simplify the radical expression

More Steps

x = \frac{75 \pm 15 33}{6}

Separate the equation into 2 possible cases

x = \frac{75 + 15 33}{6} x = \frac{75 - 15 33}{6}

Simplify the expression

More Steps

x = \frac{25 + 5 33}{2} x = \frac{75 - 15 33}{6}

Simplify the expression

More Steps

x = \frac{25 + 5 33}{2} x = \frac{25 - 5 33}{2}

Solution

x_{1} = \frac{25 - 5 33}{2}, x_{2} = \frac{25 + 5 33}{2}

Alternative Form

x_{1} \approx - 1.861407, x_{2} \approx 26.861407

Show Solution