The rational values of $a$ and $b$ in $a x^2+b x+1=0$ if $\frac{1}{4+\sqrt{3}}$ is a root, are

JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

1 Easy

1 of 1

Application +4 | -1

The rational values of

a

and

b

a x^2+b x+1=0

\frac{1}{4+\sqrt{3}}

is a root, are

View answer and explanation

Correct option: A

a=13, b=-8

Option A (

a=13, b=-8

) is correct because it is obtained by rationalizing the given root and comparing coefficients of the quadratic equation.

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{\alpha _1},{\beta _1}

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{x^2} + 4ax + 2 > 0

x

a

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