find roots of a²x²+(a²-b²)x-b²=0
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Answered by
10
Answer:
ANSWER
Here, a
2
x
2
+abx=b
2
,a
=0,b
=0
⇒a
2
x
2
+abx−b
2
=0
Now, roots of the quadratic equation =
2a
2
−ab±
(ab)
2
−4a
2
(−b
2
)
=
2a
2
−ab±
5a
2
b
2
=
2a
2
−ab±
5
ab
=
2a
−b±
5
b
Thus, the roots are real and unequal.
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