Solve (x + a) (x + b) (x2 + a2 + b)
Answers
Answered by
5
The given quadratic equation a
2
b
2
x
2
−(a
2
+b
2
)x+1=0 can be factorised as follows:
a
2
b
2
x
2
−(a
2
+b
2
)x+1=0
⇒a
2
b
2
x
2
−a
2
x−b
2
x+1=0
⇒a
2
x(b
2
x−1)−1(b
2
x−1)=0
⇒(a
2
x−1)=0,(b
2
x−1)=0
⇒a
2
x=1,b
2
x=1
⇒x=
a
2
1
,x=
b
2
1
Hence, x=
a
2
1
or x=
b
2
1
Similar questions