For the given rational function, find all values of x for which y has the indicated value.
-$$y = 2 x + \frac { 24 } { x } ; \quad y = - 16$$
A) $- 3 , - 4$
B) $- 2 , - 6$
C) 2,6
D) $- \frac { 1 } { 2 } , - 6$

Question

Quizplus · Accepted Answer

To find x when y = -16, solve the equation: $-16 = 2x + \frac{24}{x}$. Multiply through by x to get $-16x = 2x^2 + 24$. Rearrange to form a quadratic: $2x^2 + 16x + 24 = 0$. Solving this gives x = -2 and x = -6.

For the Given Rational Function, Find All Values of X y=2x+24x;y=−16y = 2 x + \frac { 24 } { x } ; \quad y = - 16y=2x+x24​;y=−16

For the Given Rational Function, Find All Values of X $y = 2 x + \frac { 24 } { x } ; \quad y = - 16$