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If [math]\alpha[/math] and [math]\beta[/math] are roots of equation [math]x^2-2px+2p^4[/math], then what is the maximum value of [math]\alpha^2+\beta^2[/math]?
Can you explain the problem: 'If [math]\alpha[/math] and [math]\beta[/math] are roots of equation [math]x^2-2px+2p^4[/math], then what is the maximum value of [math]\alpha^2+\beta^2[/math]?'
Sure, [math]\alpha[/math] and [math]\beta[/math] are the roots of a quadratic equation [math]x^2-2px+2p^4[/math]. We need to find the maximum value of [math]\alpha^2+\beta^2[/math]. Is that clear?