If - - are the roots of the equation x2 - 15x - 17 - 0- find - - -2-

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Algebra of Roots of Quadratic Equations

If α, β are t...

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If α, β are the roots of the equation $x^{2}$ + 15x + 17 = 0, find ${(α - β)}^{2}$ .

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If α, β are the roots of the equation $x^{2}$ + 15x + 17 = 0, find ${(α - β)}^{2}$ .

α, β

x^{2} + p x + q = 0

{(α - β)}^{2}

{(α + β)}^{2}

α, β (w h e r e α < β) a r e r o o t s o f t h e e q u a t i o n x^{2} + b x + c = 0 w h e r e (c < 0 < b) t h e n

1 . 0 < α < β 2 . α < 0 < β < | α | 3 . α < β < 0 4 . α < 0 < | α | < β

α

β

x^{2} + 3 x + 1 = 0

{(\frac{α}{1 + β})}^{2} + {(\frac{β}{α + 1})}^{2}

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