Question

if a+b=180 and a×b=7200 then find the value of A&b

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Answer 1

Answer:

a + b = 180---------- 1

and a*b = 7200---------2

1 gives us : a = 180 - b---------3

putting 3 in 2,

(180 - b)*b = 7200

= 180b - $b^{2}$ = 7200

= $-b^{2} + 180b - 7200 = 0$

= $b^{2} - 180b + 7200 = 0$

$= b^{2} - 60b - 120b + 7200 = 0\\= b(b - 60) - 120(b - 60)\\= (b - 120) (b - 60)$

so b = 120 or 60

when b = 120, then a = 180 - 120 = 60

and when b = 60, then a = 180 - 60 = 120

Hope you find y answer useful.

Thanks for asking.