if a+b=6 and ab=5 find a2+b2
Answers
Answered by
0
Answer:
a + b = 6 (1st equation)
ab = 5 (2nd equation)
a+ b = 6
a = 6 - b 3rd equation
put the value of a of 3rd equation in 2nd equation
= ab = 5
value of a =6 - b
( 6- b) (b) = 5
6b - B2 = 5
B2 - 6b = -5
b2 - 6b +5
b2 - 5b - b + 5
b( b -5). -1 ( b- 5)
(b-1) ( b - 5)
b = 1
b = 5
let the value of b = 5
put the value of b in 3rd equation
a = 6 - b
a = 6 - 5
a = 1
verification
a + b = 6
1 + 5 = 6
ab= 5
1 × 5 = 5
hence proved
Similar questions