Question

In a math class, the teacher asked the students to find the approximate value of one of the x-coordinates of a point of intersection of two functions: f(x) = 2x2 − 3x + 4 g(x) = 5x − 1 Her students gave her different answers. Which answer is the most accurate? A. 0.8 B. 0.9 C. 1.9 D. 1.1

Answer 1

The answer is 0.8 so A

Explanation:

Answer 2

Set the polynomial equal to each other.

x2 - 2x - 5 = x3 - 2x2 - 5x - 9

Move all the terms to the right side of the equation to make the left side equal to zero.

0 = x3 - 3x2 - 3x - 4

Now we use synthetic division to factor.

4 | 1 -3 -3 -4

4 4 4

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1 1 1 0

0 = (x - 4)(x2 + x + 1)

Now you can set the factors equal to zero and solve for x. Since the quadratic factor has no real solutions, we ignore and focus on the linear factor. x = 4

Evaluate any of the function when x=4 to get the y-coordinate of the intersection point.