Question

Which of the following is a solution of 4x2 = - 9x - 4?94777-9 + 14589+ V1458-97178.

Answer 1

`4x^2=-9x-4`

use the quadratic equation in the form

`x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}`

write the equation in the form

`ax^2+bx-c=0`
`4x^2+9x+4=0`

replace in the quadratic equation

`\frac{-9\pm\sqrt[]{9^2-4\cdot4\cdot4}}{2\cdot4}`

simplify

`\frac{-9\pm\sqrt[]{17}}{8}`