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solong [7]
3 years ago
15

Thomas bought a case of 6 apple juice bottles and one 3-liter bottle of orange juice. Each apple juice bottle contains 2 liters

of juice. How many liters of apple and orange juice did Thomas buy?
Mathematics
1 answer:
OleMash [197]3 years ago
6 0
So...
Each bottle of apple juice has 2 litters of juice, so, if he bought y bottles of apple juice, we will have to multiply.
6*2=12

12 liters of apple juice
3 liters of orange juice
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Step 1 ) Move all terms right side of the equation.

\displaystyle\ x^{2} + 6x = -18

\displaystyle\ x^{2} + 6x + 18 = -18 + 18

\displaystyle\ x^{2} +6x + 18 = 0

Step 2 ) Apply quadratic formula. (Note: There are 2 solutions)

\displaystyle\ x^{2} +6x + 18 = 0

\displaystyle\ x = \frac{-b\sqrt{b^{2}-4ac}}{2a}, \displaystyle\ x = \frac{-b-\sqrt{b^{2}-4ac}}{2a}

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\displaystyle\ x = \frac{-6-6i}{2}

Step 3 ) Simplify.

\displaystyle\ x = \frac{-6+6i}{2} ,

\displaystyle\ x = \frac{-6-6i}{2}

\displaystyle\ x = -3+ 3i,

\displaystyle\ x = -3 - 3i

Since the options only provide one of the answer we found, the answer is...

\displaystyle\ x = -3 - 3i

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- <em>Marlon Nunez</em>

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