Question

5) If the roots of the equation x2 + px + q = 0 differ by 1, prove that p-1 + 44.
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Answer 1

Answer:

Given QUADRATIC equation :-

x² - px + q = 0

Difference of roots = 1

=》

$\frac{ \sqrt{</strong><strong>D</strong><strong>} }{a} = 1$

=》

$\frac{ \sqrt{ {p}^{2} - 4q} }{1} = 1$

=》 p² - 4q = 1

=》 p² - 4q - 1 = 0 [H.P.]