Solve the equation -3x^2x+4=-x-3 by writing a linear-quadratic system and solving using the intersection feature of a graphing calculator. round to the nearest hundredth

1 answer

To write a linear-quadratic system, let's set the given equation equal to y:

-3x^2x + 4 = -x - 3
y = -x - 3 + 3x^2

Thus, the linear-quadratic system is:
y = -x - 3 + 3x^2
y = x

Using a graphing calculator, we can find the point of intersection of these two equations. Rounding to the nearest hundredth, the solution is approximately (1.97, 1.97).