Solve 6y^2 - 7y - 116 - Socratic AI (ScanMath)

Evaluate

6 y^{2} - 7 y - 116

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

6 y^{2} - 7 y - 116 = 0

Substitute a= 6,b= - 7 and c= - 116 into the quadratic formula y = \frac{- b \pm b ^{2} - 4 a c}{2 a}

y = \frac{7 \pm ( - 7 ) ^{2} - 4 \times 6 ( - 116 )}{2 \times 6}

Simplify the expression

y = \frac{7 \pm ( - 7 ) ^{2} - 4 \times 6 ( - 116 )}{12}

Simplify the expression

More Steps

y = \frac{7 \pm 2833}{12}

Separate the equation into 2 possible cases

y = \frac{7 + 2833}{12} y = \frac{7 - 2833}{12}

Solution

y_{1} = \frac{7 - 2833}{12}, y_{2} = \frac{7 + 2833}{12}

Alternative Form

y_{1} \approx - 3.852161, y_{2} \approx 5.018828

6y^2 7y 116