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arti

· started a discussion

· 1 Months ago

here is power of X is not showing properly

Question:
If x2 - 3x + 2, is a factor of x4 - ax2 +b, then the values of a and b are :
Options:
A) a = 5, b = 3
B) a = 3, b = 4
C) a = 5, b = 4
D) None of these
Solution:
Ans: (c) x2 - 3x +2 =0

x2 - 2x - x +2 =0

(x-2) (x-1) = 0

x = 2, 1 must satisfy equation x4 - ax2 +b

Now for x = 2

(2)4 - a (2)2 + b = 0

16 - 4a + b = 0

4a - b = 16............. (i)

for x = 1

(1)4 - a (1)2 + b = 0

1- a + b = 0

a - b = 1............. (ii)

On solving (i) and (ii), we get

a = 5 and b = 4

Knowledge Expert

· commented

· 1 Months ago

4 is in power of x...........we fixed it.......

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