Solve 5t^2-7t-60 - ScanMath

Evaluate

5 t^{2} - 7 t - 60

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

5 t^{2} - 7 t - 60 = 0

Substitute a= 5,b= - 7 and c= - 60 into the quadratic formula t = \frac{- b \pm b ^{2} - 4 a c}{2 a}

t = \frac{7 \pm ( - 7 ) ^{2} - 4 \times 5 ( - 60 )}{2 \times 5}

Simplify the expression

t = \frac{7 \pm ( - 7 ) ^{2} - 4 \times 5 ( - 60 )}{10}

Simplify the expression

More Steps

t = \frac{7 \pm 1249}{10}

Separate the equation into 2 possible cases

t = \frac{7 + 1249}{10} t = \frac{7 - 1249}{10}

Solution

t_{1} = \frac{7 - 1249}{10}, t_{2} = \frac{7 + 1249}{10}

Alternative Form

t_{1} \approx - 2.834119, t_{2} \approx 4.234119

Find the roots