Answer:
t = 36
Step-by-step explanation:
If one of the roots is "a", the equation can be factored as ...
(5x -a)(x -a) = 0
5x^2 -6ax +a^2 = 0
Comparing terms to the given equation, we see that ...
-6ax = -36x
a = 6 . . . . . . . . divide by -6
Then ...
a^2 = t
36 = t . . . . . . . substitute 6 for a
_____
The roots are 6 and 6/5.
Using linear function concepts, a system of equations with no solutions is created when:

<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The intersection of two lines is the solution of a system of equations. If two lines have the <u>same slope and different intercepts</u>, they will never intercept, that is, the system will not have a solution.
The lines are given as follows:
Hence, for a system with no solution, we need that:

More can be learned about linear function concepts at brainly.com/question/24808124
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Answer:

Step-by-step explanation:

Distribute the parenthesis

Add 20 to both sides

Divide both sides by 2


Hope this helps
It is clear that (AB) is a median, and it is obvious that the angle is 90, thus it is an altitude and a perpendicular bisector