Question

Use a graphing utility to verify your result. (Hint: Treat the expression as a fraction whose denominator is 1, and rationalize the numerator.) X=-(zx+V)(4x²-x)

Answer 1

To verify the given expression, treat it as a fraction with a denominator of 1. Rationalize the numerator by multiplying both the numerator and denominator by the conjugate of the numerator. Then, plug in different values of x into the expression and graph it using a graphing utility to verify the result.

Step-by-step explanation:

To verify the given expression, we can use a graphing utility. First, treat the expression as a fraction with a denominator of 1. Next, rationalize the numerator by multiplying both the numerator and denominator by the conjugate of the numerator. Finally, plug in different values of x into the expression and graph it using the graphing utility to verify the result.

For example, if we plug in x = 1 into the expression, we get:

(-(1)(1+√x))(4(1)²-1) = (-(1)(1+√1))(4(1)²-1) = (-(1)(1+1))(4(1)²-1) = (-2)(4-1) = (-2)(3) = -6

We can continue plugging in different values of x and graphing the resulting expression to verify the result.