t= (√5^2+75/ 2)^3 - 110

what is the value of t?

1 answer

Let's simplify the equation step by step.

First, calculate inside the parentheses:
(√5^2 + 75/2) = (√25 + 75/2) = (5 + 75/2) = (10/2 + 75/2) = 85/2

Next, cube this value:
(85/2)^3 = (85^3)/(2^3) = 614125/8

Finally, subtract 110 from this value:
614125/8 - 110 = 614125/8 - 110*8/8 = (614125 - 880)/8 = 613245/8

Therefore, the value of t is 613245/8.