If (a+b)²=100 and (a-b)²=4 find the value of ab
Answers
Answered by
0
(a+b)^2=100
a^2+2ab+b^2=100
a^2+b^2=100-2ab
___(1)
(a-b)^2=4
a^2-2ab+b^2=4
a^2+b^2=4+2ab
___(2)
comparing equation (1) &(2)
100-2ab=4+2ab
100-4=2ab+2ab
96=4ab
ab=96/4
ab=24
answer = 24
Answered by
0
Answer:
We know that (a+b)²=a²+b²+2ab
100²=a²+b²-2ab+4ab
10000=4²+4ab
10000=4²+4ab
10000=16+4ab
10000-16=4ab
9984=4ab
ab=9984/4
ab=2496
Similar questions