Question

Solve the equation with the quadratic formula 4k^2-11k-18=0

Answer 1

D

Explanation:

Quadratic formula tells us that the roots are equal to:

`(-b\pm \:√(b^2-4ac))/(2a)`

The letters are just the coefficients, so a = 4, b = -11, and c = -18. Plugging these values into the formula we get:

`(-11\pm √(11^2-4\cdot \:4\left(-18\right)))/(2\cdot \:4)`

Which when simplified tells us that the roots are:

`(-11+√(409))/(8)` or
`(-11-√(409))/(8)`

Remember the plus or minus sign is what gives us two answers.