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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
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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

User Mark Heckmann
by
7.5k points

1 Answer

3 votes

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

User Albondi
by
8.2k points
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