<u>t² -7 + 12t⁻² = 0</u>
Multiply each side by t² :
t⁴ -7t² + 12 = 0
This is a quadratic equation in the variable ' t² '.
For just a moment, to avoid confusion, let U = t².
Then the equation is
U² - 7U + 12 = 0
whence
(U - 4) (U - 3) = 0
and
U = 4 and U = 3 .
Now we can go back to ' t² ' in place of U :
t² = 4
<u>t = +2</u> and <u>t = -2</u>
t² = 3
<u>t = +√3</u> and <u> t = -√3</u>
1) Answer:

2) Answer:

The answer for first equation is, option B.
and the Answer for Second equation is option D.
X = sqrt(5^2 - 3^2) = 4
y = sqrt(7^2 - 3^2) = sqrt 40
Horizontal distance = x + y + 3 = 7 + sqrt40
Answer:
10,9.75,9.5,9.25,9, 8.75 , 8.5, 8.25, 8...
Step-by-step explanation:
Subtract 0.25 from each to find the next number