The coefficient of the x-term is -3. Add the square of half of that.
.. (-3/2)² = 9/4 . . . . . . the number you need to add.
x² -3x +9/4 = (x -3/2)²
_____
If the x² term has a coefficient other than 1, you need to factor that out first and deal with the remaining binomial. For example,
.. 2x² -6x = 2(x² -3x)
For this you would need to add 9/4 inside parentheses to get
.. 2(x² -3x +9/4) = 2(x -3/2)²
Of course, to keep the original value, you would need to subtract 2*(9/4) outside parentheses.
.. 2x² -6x = 2(x -3/2)² -9/2
X=3
PT=18
Steps:
4x+6=9x-9
Add 9 to 6 and subtract 4x from 9x
15=5x
3=x
Plug 3 into equation
12+6=18
Answer:
(x-2)(x-3)
Step-by-step explanation:
Answer:
16 is the range
Step-by-step explanation:
First, arrange the numbers from least to greatest.
21, 25, 25, 26, 28, 37
Then, subtract 21 (smallest number) from the 37 (biggest number).
37 - 21 = 16
So, the range is 16
Have a wonderful day!
