Math, asked by Rakshita2003, 1 year ago

Find the roots of the equation

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Answered by angle99
2
this is the ans of questions.
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Answered by Sharad001
60

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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