Answer:
n = -3
Step-by-step explanation:
The difference of the square of a number and 24 is equal to 5 times that number. Find the negative solution.
I'm going to call the number "n."
n² - 24 = 5n subtract 5n from both sides to get the equation equal to zero
- 5n -5n
n² - 5n - 24 = 0 factor the trinomial into the multiplicatin of two binomials
we need factors (numbers that multiply) to -24 that add up to
-5. The only factors for -24 that will add up to -5 are -8 and 3.
(n-8)(n+3) = 0 set each binomial equal to zero and solve for n
n-8 = 0 or n+3 = 0
+8 +8 -3 -3
n = 8 or n = -3 n = -3 is the negative solution
