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Anni [7]
3 years ago
7

What are the solutions of the equation (2x + 3)^2 + 8(2x + 3) + 11 = 0? Use u substitution and the quadratic formula to solve.

Mathematics
2 answers:
iris [78.8K]3 years ago
7 0
U=2x+3, x=u/2-3/2
u^2+8u+11=0
u1=(-8+sqrt(64-44))/2=-4+sqrt(5)
u2=-4-sqrt(5)
x1=u1/2-3/2=-7/2+sqrt(5)/2
x2=u2-3/2=-7/2-sqrt(5)/2

Dafna11 [192]3 years ago
7 0

Answer:

x=-7+/5 /2

Step-by-step explanation:

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Solve for x. 5(x – 10) = 30 – 15x
SIZIF [17.4K]
Hey!


The first step to solving this problem would be to distribute the parenthesis. We do this so that we can get rid of the parenthesis.

<em>Original Equation :</em>
5 ( x - 10 ) = 30 - 15x

<em>New Equation {Changed by Distribution} :</em>
5x - 50 = 30 - 15x

The next step would be to 50 to both sides. The reason we do that is to get rid of the 50 that is on the left side of the equation.

<em>Old Equation :</em>
5x - 50 = 30 - 15x

<em>New Equation {Changed by Adding 50 to Both Sides} :</em>
5x = 80 - 15x

And now we would add 15x to both sides to get rid of the -15x on the right side of the equation.

<em>Old Equation :</em>
5x = 80 - 15x

<em>New Equation {Changed by Adding 15x to Both Sides} :</em>
20x = 80

Now we divide both sides by 20 to get x on it's own.

<em>Old Equation :</em>
20x = 80

<em>New Equation {Changed by Dividing Both Sides by 20} :</em>
\frac{20x}{20} = \frac{80}{20}

Finally, all we have to do is solve to find x.

<em>Old Equation :</em>
\frac{20x}{20} = \frac{80}{20}

<em>Solution {Old Equation Solved} :</em>
x = 4

<em>So, in the equation </em><span><em>5 ( x – 10 ) = 30 – 15x</em>,  x = 4.

Hope this helps!


- Lindsey Frazier ♥</span>
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Answer:

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Answer:

There are 11,355 milliliters in 3 gallons, and 946.25 milliliters in 1 quart.

Step-by-step explanation:

If there are 3,785 milliliters in 1 gallon, multiply each side by 3 because you want the product to equal 3 gallons.3,785 times 3 is equal to 11,355, and 1 times 3 is 3. So, 3 gallons are equal to 11,355 milliliters. If there are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon, that means that there are 3,785 milliliters in 4 quarts. Now, you want to find the amount of milliliters in 1 quart so you should divide both the 3,785 and the 4 by 4. So, there are 946.25 milliliters in 1 quart.

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Answer:

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