The expression a 2 x 2 -bx-1 will be positive for all x- R if-

The correct options are B b ^ 2 C D ...

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Integrating Factor

The expressio...

Question

The expression $a^{2} x^{2} + b x + 1$ will be positive for all $x \in R$ if:

D > 0

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b^{2} < 4 a^{2}

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D < 0

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4 b^{2} < 4 a^{2}

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Solution

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Similar questions

D = 4 a^{2} - 12 b = 4 (a^{2} - 3 b) = 0

x_{1}

x_{2}

f^{'} (x) = 0

f (x_{1}) \neq 0

x^{2} - 4 a x + 4 a^{2} - b^{2} = 0

x^{2} - 4 a x - b^{2} + 4 a^{2} = 0

x^{2} - 4 a x + 4 a^{2} - b^{2} = 0 .

x^{2} - 4 c x + b^{2} > 0

x

a^{2} + b^{2} < a b

\frac{x + a}{x^{2} + b x + c^{2}}

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