For the given rational function, find all values of x for which y has the indicated value.
-y = x x -- 3 5 ; y = 13
A) 2
B) 12
C) - 12
D) -2

Question

Quizplus · Accepted Answer

To find the value of x for which y = 13, substitute y = 13 into the equation y = (x^2 - 3x)/5 and solve for x. This gives 13 = (x^2 - 3x)/5. Multiplying both sides by 5 gives 65 = x^2 - 3x. Rearranging gives x^2 - 3x - 65 = 0. Solving this quadratic equation using the quadratic formula or factoring gives x = 2 as one of the solutions.

For the Given Rational Function, Find All Values of X