Solve 4k^2 - 24k - 60

Evaluate

4 k^{2} - 24 k - 60

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

4 k^{2} - 24 k - 60 = 0

Substitute a= 4,b= - 24 and c= - 60 into the quadratic formula k = \frac{- b \pm b ^{2} - 4 a c}{2 a}

k = \frac{24 \pm ( - 24 ) ^{2} - 4 \times 4 ( - 60 )}{2 \times 4}

Simplify the expression

k = \frac{24 \pm ( - 24 ) ^{2} - 4 \times 4 ( - 60 )}{8}

Simplify the expression

More Steps

k = \frac{24 \pm 1536}{8}

Simplify the radical expression

More Steps

k = \frac{24 \pm 16 6}{8}

Separate the equation into 2 possible cases

k = \frac{24 + 16 6}{8} k = \frac{24 - 16 6}{8}

Simplify the expression

More Steps

k = 3 + 26 k = \frac{24 - 16 6}{8}

Simplify the expression

More Steps

k = 3 + 26 k = 3 - 26

Solution

k_{1} = 3 - 26, k_{2} = 3 + 26

Alternative Form

k_{1} \approx - 1.898979, k_{2} \approx 7.898979

Factor the expression