Question

If the sum of the squares of the roots of

2

x px   3 0

is 10 then p = ……..​

Answer 1

ANSWER:

+2 or -2

EXPLAINATION:

Let the roots be a,b

Given a+b = - p

Product of roots is ab = -3

And sum of squares of roots a²+b² = 10

a+b = -p

Squaring on both sides

(a+b)² = (-p)²

a²+b²+ 2ab= p²

10+2(-3)= p²

P²=4

P= +2 or P = -2

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