Solve 3x^2-6x-15 - ScanMath

Evaluate

3 x^{2} - 6 x - 15

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

3 x^{2} - 6 x - 15 = 0

Substitute a= 3,b= - 6 and c= - 15 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{6 \pm ( - 6 ) ^{2} - 4 \times 3 ( - 15 )}{2 \times 3}

Simplify the expression

x = \frac{6 \pm ( - 6 ) ^{2} - 4 \times 3 ( - 15 )}{6}

Simplify the expression

More Steps

x = \frac{6 \pm 216}{6}

Simplify the radical expression

More Steps

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

Separate the equation into 2 possible cases

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

Simplify the expression

More Steps

x = 1 + 6 x = \frac{6 - 6 6}{6}

Simplify the expression

More Steps

x = 1 + 6 x = 1 - 6

Solution

x_{1} = 1 - 6, x_{2} = 1 + 6

Alternative Form

x_{1} \approx - 1.44949, x_{2} \approx 3.44949

Factor the expression