Question

1. Find the value of:
(i) a? + b2 when a + b = 9, ab = 20
(ii) p+ q? if p-q=6 and p + q = 14
(iii) mn if m + n= 8 and m-n= 2
1
1
1
and xº + if x + ==3
4
(iv) x2
+
4
2
x
х
1
(v) x--, and x?
(w) x-
and rifx+= v5
х
2. (i)
a? + b2 + c2 if a + b + c = 17 and
ab + bc + ca = 30
(ii) ab + bc + ca if a + b + c = 15 and
2 +6² + ² = 77
(iii) a + b + c if a + b + c = 50 and
ab + bc + ca = 47
a​

Answer 1

Answer:

77

Step-by-step explanation:

(a+b)^2=a^2+b^2+2ab

9^2=a2+b^2^+2(2)

81-4=a2+b^2^

a^2+b^2=77