Question

If p - q = 9 and pq=36,evaluate
i)p+q ii)p^2 -q^2​

Answer 1

Step-by-step explanation:

p-q = 9

pq = 36

p^2 -9p - 36 = 0

p^2 - 12p + 3p - 36

(p-12)(p+3) = 0

p = 12 , -3

pq = 36

q = 3 , -12

then

p+q = 15 , -15

p^2 - q^2

= 144-9

= 135

p^2 - q^2 = 9 - 144 = -135

Answer 2

Hi there!!

P - Q = 9

PQ = 36

To find :- p² - q²

---> To form Equations

Squaring both sides,

(p-q)² = 9²

p²+ q² - 2pq =81

p²+ q² - 2(36)= 81 (given )

p²+ q²- 72=81

p²+ q² = 153

Now, Considering second equation

(p+q)²

p²+ q² + 2pq = 153

p²+ q² = 225

p+ q = 15

Now, 1)Ist part

p²- q² = ?

(p+q)(p-q) ( Identity)

= 9 × 15 = 135

Thank you :)