Question

If p +q =13 and pq =22, then p2 + q2

Answer 1

Answer:

125

Step-by-step explanation:

p+q= 13

p=13-q

putting the value of p in equation pq=22

pq=22

(13-q)q=22

13q-q square=22

q2-13q+22=0

q2-11q-2q+22=0

q(q-11) -2(q-11) =0

(q-2) (q-11) =0

q=2,q=11

let q be 2 or you can take q be 11 also i will explain both the cases

1 st case

q=2

p+q=13

p=13-2

p= 11

now put this in p2+ q2

(11) 2+(2) 2

121+4=125

Now put q=11

p+q= 13

p= 13-11

p=2

putting p and q in p2 +q2

(2) 2+(11) 2

4+121=125

In both situations the answer is same

Answer 2

QUESTION ⤵️

If p +q =13 and pq =22, then p2 + q2

ANSWER ⤵️

GIVEN:::-

p+q= 13

pq= 22

TO FIND:::-

p^2+q^2=??

EXPLANATION:::-

(p+q)^2 = p^2+q^2 + 2pq

(13)^2 = p^2+ q^2 +2(22)

169- 44= p^2+q^2

therefore, p^2+q^2 = 125

${\huge{\boxed{\mathfrak{\pink{hope\:it\: helps}}}}}$