a+b=25 and ab=150 a-b solve
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a+b=25 ab=150 a-b=125
Answered by
1
a+b=25
then a=25-b
ab=150
now, (25-b)b=150
25b-b²=150
b²-25b+150=0
b²-15b-10b+150=0
b(b-15)-10(b-15)=0
(b-10)(b-15)=0
therefore, b=10,15
now put value of b in (a=25-b)
when we put b =15, a becomes 10
and when b=10, a becomes 15
a=10,b=15
a=15,b=10
answer
(if a= 10, b=15,
a-b= 10-15 =-5)
(if a=15, b=10,
a-b=15-10 =5)
then a=25-b
ab=150
now, (25-b)b=150
25b-b²=150
b²-25b+150=0
b²-15b-10b+150=0
b(b-15)-10(b-15)=0
(b-10)(b-15)=0
therefore, b=10,15
now put value of b in (a=25-b)
when we put b =15, a becomes 10
and when b=10, a becomes 15
a=10,b=15
a=15,b=10
answer
(if a= 10, b=15,
a-b= 10-15 =-5)
(if a=15, b=10,
a-b=15-10 =5)
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