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The roots of the quadratic equation $x^2-2 \sqrt{3} x-22=0$ are :
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Verified Answer
The correct answer is:
real, irrational and unequal
$$
\text { Hints: } \begin{aligned}
& x^2-2 \sqrt{3}-22=0 \\
& D=12+(4 \times 22)>0
\end{aligned}
$$
$\because$ coeffs are irrational,
$$
x=\frac{2 \sqrt{3} \pm \sqrt{12+88}}{2}
$$
$\therefore$ Roots are irrational, real, unequal.
\text { Hints: } \begin{aligned}
& x^2-2 \sqrt{3}-22=0 \\
& D=12+(4 \times 22)>0
\end{aligned}
$$
$\because$ coeffs are irrational,
$$
x=\frac{2 \sqrt{3} \pm \sqrt{12+88}}{2}
$$
$\therefore$ Roots are irrational, real, unequal.
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