<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>
Answer:
C 4/15 and 0.266 repeating
Step-by-step explanation:
I used a calculator
Answer:
and sold it for 26 rupesz m*********d
The constant of proportionality is the slope of the line.
The slope is the change in y over the change in x
Using two pints on the line:
Slope = (3-0) / (1-0) = 3/1 = 3
The answer is 3
Answer:
21+/-sqrt(253)=x
So one value for x is 21+sqrt(253)
and another is 21-sqrt(253)
Problem:
Given (21,7) and (x,1), find all x such that the distance between these two points is 17.
Step-by-step explanation:
Change in x is x-21
Change in y is 7-1=6
distance^2=(change in x)^2+(change in y)^2
17^2=(x-21)^2+(6)^2
289=(x-21)^2+36
Subtract 36 on both sides:
289-36=(x-21)^2
253=(x-21)^2
Take square root of both sides:
+/-sqrt(253)=x-21
Add 21 on both sides:
21+/-sqrt(253)=x
