If (a+b)^2 =625, ab = 100, find the value of a and b.
please explain step by step.​

1 thought on “If (a+b)^2 =625, ab = 100, find the value of a and b.<br />please explain step by step.​”

1. Answer: a=20 then b=5

   or a=5 then b=20

   Step-by-step explanation:

   (a+b)^2 =625

   a+b=[tex]\sqrt{625}[/tex]=25

   ab = 100

   b=100/a

   ie, a+(100/a)=25

   ie, (a^2)-(25a)+100=0

   ie, (a-20)(a-5)=0

   ie, a=20 then b=5

   or a=5 then b=20

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