Answer:
Step-by-step explanation:
JK + KL = JL
x² - 4x +3x - 2 = 28
x² - x - 2 = 28
x² - x -2 - 28 = 0
x² - x - 30 = 0
Sum = -1
Product = -30
Factors = -6 , 5 {-6 + 5 = -1 and (-6)*5 = -30}
x² + 5x - 6x - 30 = 0 {Rewrite the middle term}
x(x + 5) - 6(x + 5) = 0
(x + 5)(x - 6)= 0
x -6 = 0 {X +5 = 0 is ignored as measurement will not be negative}
x = 6
JK = x² - 4x
= 6² - 4*6
= 36 - 24
JK = 12
KL = 3x -2
= 3*6 - 2
= 18 - 2
KL = 16
