Solve 3z^2-15z-4 - ScanMath

Evaluate

3 z^{2} - 15 z - 4

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

3 z^{2} - 15 z - 4 = 0

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

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

Simplify the expression

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

Simplify the expression

More Steps

z = \frac{15 \pm 273}{6}

Separate the equation into 2 possible cases

z = \frac{15 + 273}{6} z = \frac{15 - 273}{6}

Solution

z_{1} = \frac{15 - 273}{6}, z_{2} = \frac{15 + 273}{6}

Alternative Form

z_{1} \approx - 0.253785, z_{2} \approx 5.253785

Find the roots