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The quadratic equation whose roots are the numbers having arithmetic mean 34 and geometric mean 16 is
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The correct answer is:
$x^{2}-68 x+256=0$
Quad $E q^{n}: \rightarrow$
$A M \text { of } a, b=34$
$a+b=68$
GM of $a, b,=\pm 6$
$\begin{aligned} a, b \rightarrow \text { roots } \rightarrow \quad a b &=256 \\ x^{2}-68 x+256 &=0 \end{aligned}$
$A M \text { of } a, b=34$
$a+b=68$
GM of $a, b,=\pm 6$
$\begin{aligned} a, b \rightarrow \text { roots } \rightarrow \quad a b &=256 \\ x^{2}-68 x+256 &=0 \end{aligned}$
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