Question

if p +q =1 and p-q =7 ; find a) p2 + q2 b)pq​

Answer 1

Answer:

What is the value of (P+Q) /(P-Q), if P/Q = 7?

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Answer: 4/3

Method 1:

Value of (P+Q)/(P-Q) = Value of [Q(P/Q +1)/Q(P/(Q -1)]

= Value of [(P/Q +1) / (P/(Q -1)] ………………………………………(1)

Given P/Q = 7. Substituting for P/Q in (1),

Value of (P+Q)/(P-Q) = (7 + 1) / (7–1) = 8/6 = 4/3 (Answer)

Method 2:

From P/Q = 7, on cross multiplication P = 7Q.

Substituting for P,

Value of [(P+Q)/(P-Q)] = Value of [(7Q + Q)/(7Q - Q)]

= Value of [Q (7 + 1)/Q(7 - 1)]

Cancellation of Q from numerator and denominator,

Value of [(P+Q)/(P-Q)] = (7+1)/(7–1) = 8/6 = 2x4/2x3 = 4/3 (Answer

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

p+q=1 eq 1

p-q=7 eq 2

By using elimination method on eq 1 and eq 2

p+q=1

p-q=7

p=4 , q=3

• a) p^2+q^2

(4)^2 +(3)^2

=16+9 = 25

• b) pq

(4)×(3)

=12