Question

Solve - 3x^2 + 2x + 4 = -x- 3 by writing a linear-quadratic system and solving using the intersection feature of a graphing calculator,The graphing calculator shows the curve and line intersect at

Answer 1

Given,

`-3x^2+2x+4=-x-3`
`-3x^2+3x+7=0`

Solving the above equation,

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

Here, a=-3, b=3 and c=7

Therefore,

`x=\frac{-3\pm\sqrt[]{9+84}}{-6}`
`x=\frac{-3+\sqrt[]{93}}{-6}\text{ or }x=\frac{-3-\sqrt[]{93}}{-6}\text{ }`

Therefore,

`x=-1.11\text{ or }x=2.11`