1.

Let p, q be real numbers. If alphais the root ofx^(2) +3p^(2)x+5q^(2)=0, betais a root of x^(2) + 9p^(2)x + 15q^(2) = 0 and 0 lt alpha lt beta, then the equationx^(2) +6p^(2)x +10q^(2)=0has a root gammathat always satisfies

Answer»

`GAMMA =ALPHA//4 +BETA`
`beta LT gamma`
`gamma = alpha//2 +beta`
`alpha lt gammalt beta`

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