if p+q=√13 and p-q=√5Then the value of pq is
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If p+q=√13. ------>(1)
and, p-q=√5. --->(2)
now,
squaring both sides of both equations, we get
(1) eq. p^2 + q^2 + 2pq=13----->(3)
(2)eq. p^2 + q^2 - 2pq=5------>(4)
now, subtracting 4th eq. from 1st eq. we get
2pq = 8
.°. pq = 4
hence required answer is 4...
and, p-q=√5. --->(2)
now,
squaring both sides of both equations, we get
(1) eq. p^2 + q^2 + 2pq=13----->(3)
(2)eq. p^2 + q^2 - 2pq=5------>(4)
now, subtracting 4th eq. from 1st eq. we get
2pq = 8
.°. pq = 4
hence required answer is 4...
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