Question

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

Answer 1

Answer: a=20 then b=5

or a=5 then b=20

Step-by-step explanation:

(a+b)^2 =625

a+b=$\sqrt{625}$=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