Find the roots of the equation
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Question :-
Find the roots of this equation where
a≠0
→ a(x² + 1) - (a² +1)x = 0
Answer :-
→ x = 1/a or a
Solution :-
We have ,
→ a(x² + 1) - (a² +1)x = 0
→ ax² + a - a²x - x= 0
→ ax² - x - a²x + a = 0
→ x(ax - 1) - a(ax - 1) = 0
→ (ax - 1)(x - a) = 0
• Case (1) if ,
→ ax - 1 = 0
→ x = 1/a
• Case (2) if ,
→ x - a = 0
→ x = a
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