√(3t+3) = 5 - √(2t-1), where clearly t ≥ 1/2
square both sides
3t+3 = 25 - 10√(2t-1) + 2t - 1
10√(2t-1) = 21 - t
square again
100(2t-1) = 441 - 42t + t^2
200t - 100 = 441 - 42t + t^2
t^2 - 242t + 541 = 0
t = (242 ± √56400)/2 = appr. 239.743 or 2.257
since we squared the equation all answers must be verified.
clearly x = 239.743 does not work
test x = 2.257
LS = 1.874 + 3.126 = 5
= RS
x = 2.257 or exactly 121 +10√141
How to solve for "t" - step-by-step
sqrt(2t-1) + sqrt(3t+3) = 5
Thank you very much.
1 answer
1 answer