if a and b are two integers and a+b+ab+1=35, then find the value od a+b
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1
Answer:
Given, a
2
+b
2
=74 and ab=35
We know that, (a+b)
2
=a
2
+b
2
+2ab ... (i)
By putting the given values in equation (i),
(a+b)
2
=74+2x35
(a+b)
2
=74+70
(a+b)
2
=144
a+b=
144
a+b=±12
So, the value of a+b is ±12.
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