Question

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Answer 1

Verified answer

25x² + px + 4 = 0
x1 + x2 = -b/a = -p/25
x1 . x2 = c/a = 4/25

x1/x2 + x2/x1 = 4 1/4 = 17/4
(x1² + x2²)/(x1x2) = 17/4
((x1 + x2)² - 2x1x2)/(x1x2) = 17/4
((-p/25)² - 2.4/25) / . 4/25 = 17/4
p/625 - 8/25 = 4/25 . 17/4 = 17/25
(p - 8 × 25)/625 = 17/25
p - 200 = 625 × 17/25
p - 200 = 25 × 17 = 425
p = 200 + 425
p = 625