Question

9. if x2-x-6 and x2+ 3x - 18 have a common factor (x-a) then find the value of a.​

Answer 1

Step-by-step explanation:

Since they have common factor of (x-a)

So, x=a

x²-x-6=0 x²+3x-18=0

a²-a-6=0 a²-3a-18=0

a2-a=6----(I) a²-3a=18---(II)

3a²-3a=18

a2-3a=18

Subtracting, 2a²=0

so, a=0.