(C)
The value of “3 + a" for which the equations
x³ + ax + 1 = 0 and x4 + ax?+1 = 0 have common root is
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Answer:
x
3
+ax+1=0 .. (1)
x
4
+ax
2
+1=0 .. (2)
Multiply eq (1) with x,
x
4
+ax
2
+x=0 .... (3)
Now subtract equations (2) and (3), we get
(x
4
+ax
2
+x)−(x
4
+ax
2
+1)=0
x−1=0
∴x=1
Substituting this value in equation (1), we get
a=−2
How satisfied are you with the answer?
Explanation:
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