Answer:
Step-by-step explanation:
f(x)=x^4+3x^2-4
put x²=y
squaring x^4=y²
f(x)=y²+3y-4
=y²+4y-y-4
=y(y+4)-1(y+4)
=(y+4)(y-1)
so f(x)=(x²+4)(x²-1)
=[x²-(-4)](x²-1²)
=[x²-(4i²)](x²-1²)
=[x²-(2i)²](x²-1²)
=(x+2i)(x-2i)(x+1)(x-1)
[∵a²-b²=(a+b)(a-b)]
Answer:
4a + 2b/3
Step-by-step explanation:
focus on 8b/12 first:
factor 8b/12 by 4 ---> 8b/12 = 4(2)b/4(3) ----> cancel 4 in the denominator and the nominator ---> 8b/12 = 4(2)b/4(3) = 2b/3
then, go back to 4a:
4a is in its simplest form, it can't be factor
therefore, plus 4a and 2b/3 = 4a + 2b/3
<span>7m + 2/8 = 2m - 1/3
(7m X 24) + (2/8 X 24) = (2m X 24) - (1/3 X 24)
168m + 6 = 48m - 8
120m = -14
m = -0.1166</span>
Answer:
Length
inches
Width
inches
Step-by-step explanation:
Let
= length of rectangle,
= width of rectangle
Given the area and the perimeter of the rectangle, we can write:

So:



Now, we can use substitution to find the value of
:



(Quadratic equation)
∴ 
We can use substitution again to find the value of 



∵ Length usually refers to the longer side of a rectangle, ∴ length
inches and width
inches.
Hope this helps :)