Question

If x-2 is a factor of x² - 2ax² +ax-1 then the value of a is: (a) - 7/6​

Answer 1

Step-by-step explanation:

x-2=0

x=2

x²-2ax²+ax-1=0

2²-2 x a x 2²+a x 2² -1=0

4-8a+4a-1=0

4-4a-1=0

3-4a=0

3=4a

a=3/4.

hope it helps.

Answer 2

Answer:

Given that,

x-2 is a Factor of x²-2ax²+ax-1 means x-2 = 0.

x-2 = 0

x = 0+2

x = 2

Substituting x=2 in x²-2ax²+ax-1, we get

2²-2a(2²)+a(2)-1 = 0

4-2×4a+2a-1 = 0

4-8a+2a-1 = 0

3-6a = 0

-6a = 0-3

-6a = -3

a = -3/-6

a = 1/2

Therefore, The Value of x is 1/2.

Hope it Helps You.

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