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VARDHAN2810:
so that u get p and q
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Solution :-
x = [√(p + 2q) + √(p - 2q) ] / [√(p + 2q) - √(p - 2q)]
rationalise the denominator
x = [√(p + 2q) + √(p - 2q) ]2 / [(p + 2q) - (p - 2q)]
x = [√(p + 2q) + √(p - 2q) ]2 / 4q. 4q
x = 2p + 2√(p2 - 4q2) 2qx - p
= √(p2 - 4q2)
squaring on both sides
4q2x2- 4pqx + p2 = p2 - 4q2 4q[ qx2 - px + q ] = 0qx2 - px + q = 0
x = [√(p + 2q) + √(p - 2q) ] / [√(p + 2q) - √(p - 2q)]
rationalise the denominator
x = [√(p + 2q) + √(p - 2q) ]2 / [(p + 2q) - (p - 2q)]
x = [√(p + 2q) + √(p - 2q) ]2 / 4q. 4q
x = 2p + 2√(p2 - 4q2) 2qx - p
= √(p2 - 4q2)
squaring on both sides
4q2x2- 4pqx + p2 = p2 - 4q2 4q[ qx2 - px + q ] = 0qx2 - px + q = 0
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