The harmonic mean of the roots of the equation 5+2x2−4+5x+8+25=0 , is

α+β=4+55+2;αβ=8+255+2The harmonic mean of the roots is 2αβα+β=2(8+25)4+5=4.

The harmonic mean of the roots of the equation 5+2x2−4+5x+8+25=0 , is

α+β=4+55+2;αβ=8+255+2The harmonic mean of the roots is 2αβα+β=2(8+25)4+5=4.

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The harmonic mean of the roots of the equation $(5 + \sqrt{2}) x^{2} - (4 + \sqrt{5}) x + 8 + 2 \sqrt{5} = 0$ , is

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$α + β = \frac{4 + \sqrt{5}}{5 + \sqrt{2}}; α β = \frac{8 + 2 \sqrt{5}}{5 + \sqrt{2}}$

The harmonic mean of the roots is $\frac{2 α β}{α + β} = \frac{2 (8 + 2 \sqrt{5})}{4 + \sqrt{5}} = 4$ .

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The harmonic mean of the roots of the equation 5+2x2−4+5x+8+25=0 , is

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The harmonic mean of the roots of the equation $(5 + \sqrt{2}) x^{2} - (4 + \sqrt{5}) x + 8 + 2 \sqrt{5} = 0$ , is