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V125BC [204]
2 years ago
7

Solve the equation x² - 6x = 15 by completing the square.

Mathematics
1 answer:
jonny [76]2 years ago
4 0

Answer:

Use the formula  ( b 2 ) 2  in order to create a new term. Solve for  x  by using this term to complete the square.

Exact Form: x = ± 2 √ + 3

Decimal Form:  x = 7.89897948

1.898979488

Step-by-step explanation:

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25y = 500
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Step-by-step explanation:

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One vegetable warehouse had 210 tons of potatoes, another one had 180 tons. 90 tons of potatoes were delivered to the first and
kow [346]

Answer:

The number of days in which the amount in warehouse #2 is 1.2 greater than warehouse #1 is 6 days.

Step-by-step explanation:

Let

x: number of days

y: amount of potatoes

We can express the amount of potatoes in each warehouse using linear equations:

Warehouse #1: y_1 = 90x+210

Warehouse #2: y_2 = 120x+180

We need to find the value of x when 1.2*y_{1} =y_{2}

Substituting the expressions for y1 and y2 in 1.2*y_{1} =y_{2}:

1.2*(90x+210) =120x+180

Applying distributive law:

108x+252 =120x+180

Solving the equation by subtracting 108x and 180 on both sides:

108x+252-108x-180 =120x+180-108x-180

252-180 =120x-108x

72 =12x

Now we divide by 12 on both sides:

\frac{72}{12} =\frac{12x}{12}\\6=x\\x=6

Therefore, the number of days in which the amount in warehouse #2 is 1.2 greater than warehouse #1 is 6 days.

4 0
3 years ago
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