Answer:
x = 13, 5
Step-by-step explanation:
x² - 18x + 65 = 0
step 1: multiply (1) and (65) together
step 2: find two negative numbers to add together to equal -18 but multiply together to equal 65.
step 3: since there isn't a number in front of x² you could:
(x - 13) (x - 5)
x - 13 = 0 x - 5 = 0
+13 +13 +5 +5
x = 13 x = 5
or
(x² - 13x) (-5x + 65)
x(x - 13) -5 (x - 13)
(x - 13) (x - 5)
x - 13 = 0 x - 5 = 0
+13 +13 +5 +5
x = 13, 5
I hope this helps!
