t^2 - 40t + 300=0. What is the value of t
Answers
Explanation:
Simplifying
t2 + -40t + 300 = 0
Reorder the terms:
300 + -40t + t2 = 0
Solving
300 + -40t + t2 = 0
Solving for variable 't'.
Factor a trinomial.
(10 + -1t)(30 + -1t) = 0
Subproblem 1
Set the factor '(10 + -1t)' equal to zero and attempt to solve:
Simplifying
10 + -1t = 0
Solving
10 + -1t = 0
Move all terms containing t to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + -1t = 0 + -10
Combine like terms: 10 + -10 = 0
0 + -1t = 0 + -10
-1t = 0 + -10
Combine like terms: 0 + -10 = -10
-1t = -10
Divide each side by '-1'.
t = 10
Simplifying
t = 10
Subproblem 2
Set the factor '(30 + -1t)' equal to zero and attempt to solve:
Simplifying
30 + -1t = 0
Solving
30 + -1t = 0
Move all terms containing t to the left, all other terms to the right.
Add '-30' to each side of the equation.
30 + -30 + -1t = 0 + -30
Combine like terms: 30 + -30 = 0
0 + -1t = 0 + -30
-1t = 0 + -30
Combine like terms: 0 + -30 = -30
-1t = -30
Divide each side by '-1'.
t = 30
Simplifying
t = 30
Solution
t = {10, 30}
please don't forget to brainliests my answer