What is the value of #a^2+b^2#?
Let a and b be real numbers such that (a^2+1)(b^2+4) = 10ab - 5. What is the value of a^2+b^2?
Let a and b be real numbers such that (a^2+1)(b^2+4) = 10ab - 5. What is the value of a^2+b^2?
2 Answers
Expand the left-hand side to obtain
Rearranging a bit, to get
Finally this is equal to
or
Because the sum of two squares is zero this means that both squares are equal to zero.
Which means that
From these equations (it's easy) you will get
Hence
Explanation:
Given that,
Also,
From
Enjoy Maths.!