Answer:
- no real solutions
- 2 complex solutions
Step-by-step explanation:
The equation can be rearranged to vertex form:
x^2 -4x = -5 . . . . . . . . . subtract 4x
x^2 -4x +4 = -5 +4 . . . . add 4
(x -2)^2 = -1 . . . . . . . . . show the left side as a square
x -2 = ±√-1 = ±i . . . . . . take the square root; the right side is imaginary
x = 2 ± i . . . . . . . . . . . . . add 2. These are the complex solutions.
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<em>Comment on the question</em>
Every 2nd degree polynomial equation has two solutions. They may be real, complex, or (real and) identical. That is, there may be 0, 1, or 2 real solutions. This equation has 0 real solutions, because they are both complex.
The equation is (x-4)^2=6(y-1)
Hi there!
To solve both of you questions, you will need to use the cross product method :
<u>Finding "x" :</u>

So you have to do :
(4 ×
) ÷ 2 = x gallon
4 times
is the same thing as 4 times 0.5, which equals 2.
2 ÷ 2 = x gallon
1 = x gallon
So the amout for x would be : 1 gallon
<u>Finding "y" :</u>
You could do the exact same method as we did for finding "x", but the easiest and fastest way to get our answer is just by multiplying the amout we got for "x" by 2 because we are putting 8 scoops instead of 4 for "x" (and 4 times 2 = 8) :
1 gallon × 2 = y
2 gallons = y
So your answer is : The amount for y would be : 2 gallons
There you go! I really hope this helped, if there's anything just let me know! :)
Answer:
all except e
Step-by-step explanation: