1.

The discriminant of \(\sqrt{x^2-5x-1}\) = 2 is A) 21 B) 23 C) 27 D) 45

Answer»

Correct option is (D) 45

We have \(\sqrt{x^2-5x-1}=2\)

\(\Rightarrow x^2-5x-1=2^2=4\)        (By squaring both sides)

\(\Rightarrow x^2-5x-1-4=0\)

\(\Rightarrow x^2-5x-5=0\)

Discriminant \(=b^2-4ac\)

\(=(-5)^2-4\times1\times-5\)

= 25+20 = 45

Correct option is D) 45



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