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3 years ago

What does x equal if x^3-5x^2+2x=10

1 answer:

5 0

In order to find what x equals, we need to make it so x is on one side and what it equals, on the other.
First of all, we subtract 10 from both sides. You will now have:
x^3 - 5x^2 + 2x - 10 = 0
You will now either factor it which is recommended or use the Cubic Formula which is pretty difficult to memorize and to solve. I will now factor it.
( x - 5) ( x^2 + 2 ) = 0
You can now take both of the expressions inside and make them equal to zero and solve them.
x - 5 = 0x = 5
x^2 + 2 = 0x^2 = -2
x ≈ 1.41421356i
The second option is irrational and uses an imaginary number which you will start seeing in Alegbra II (or already have if you are taking it or have already passed it), so the first one which is 5, is the correct answer.
Answer: 5

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Haleigh split 4/9 of a gallon of juice into 8 cups. How much juice was in each cup?

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▹ Answer

1/18 of a gallon of juice in each cup.

▹ Step-by-Step Explanation

Since we have 4/9 of a gallon of juice for 8 cups, we will divide to find the amount of juice in each cup.

$\frac{4}{9} / 8$

Since this operation is division, we have to change 8 to it's reciprocal which is 1/8:

$\frac{4}{9}/ \frac{1}{8} = \frac{4}{72} = \frac{1}{18}$

Our final answer will be 1/18 of a gallon of juice in each cup.

Hope this helps!

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