Unreal roots

Algebra Level 2

The equation x − 7 x − 3 = 3 − 7 x − 3 x - \frac{7}{ x - 3 } = 3 - \frac{7}{ x - 3 } has how many roots?


The answer is 0.

Sakanksha Deo by Sakanksha Deo , 23, India

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1 solution

Caleb Townsend
Mar 19, 2015

x − 7 x − 3 = 3 − 7 x − 3 x = 3 x - \frac{7}{x-3} = 3 - \frac{7}{x-3} \\ x = 3 But from the original equation, x = 3 x=3 is not a valid solution since x − 3 x-3 occurs in the denominators. In fact there aren't any solutions to this equation, let alone unreal solutions. The answer is 0. \boxed{0.}

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But the question asks for unreal roots , right ?

Sai Ram - 5 years, 11 months ago

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