Question

If c > 0, s^2+ t^2 = 6, and st = c+5, what is (s+t)^2 in terms of c ?

Answer 1

Answer: We can start by expanding the square on the left-hand side of the equation:

(s + t)^2 = s^2 + 2st + t^2

We know that s^2 + t^2 = 6, so we can substitute that into the equation:

(s + t)^2 = 6 + 2st

We also know that st = c + 5, so we can substitute that into the equation:

(s + t)^2 = 6 + 2(c + 5)

Simplifying the right-hand side:

(s + t)^2 = 6 + 2c + 10

So, in terms of c, (s + t)^2 = 6 + 2c + 10.

Explanation: