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KATRIN_1 [288]
2 years ago
13

Show all work to solve 3x^2 + 5x − 2 = 0

Mathematics
1 answer:
Ratling [72]2 years ago
3 0

Answer:

x=1/3 or x=−2

if i can be brainliest that would be great

Step-by-step explanation:

Step 1: Add 2 to both sides.

3x^2+5x−2+2=0+2

3x^2+5x=2

Step 2: Since the coefficient of 3x^2 is 3, divide both sides by 3.

3x^2+5x/3=2/3

x^2+5/3x=2/3

Step 3: The coefficient of 5/3x is 5/3. Let b=5/3.

Then we need to add (b/2)^2=25/36 to both sides to complete the square.

Add 25/36 to both sides.

x^2+5/3x+25/36=2/3+25/36

x^2+5/3x+25/36=49/36

Step 4: Factor left side.

(x+5/6)^2=49/36

Step 5: Take square root.

x+5/6=±√49/36

Step 6: Add (-5)/6 to both sides.

x+5/6+ −5/6=

−5/6±√49/36x=−5/6±√49/36x=

1/3 or x=−2

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lapo4ka [179]

Answer:

Here are some answers

1. If you meant 6x = 0 then your answer is 0

2. If you meant 6 + x = 0 then your answer is -6

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Oliver sewed a quilt 3 2/3 feet long and 2 1/4 feet wide. what is the area of her quilt?
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3 years ago
What is slope between the points (-5,7) and (4,-8)?
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3 years ago
PLEAASE HELP
gladu [14]
Well you are given the equation so let's plug in for kaylib and see how many miles she can see
distance = sqrt [(3 * height) / 2]
d = sqrt [(3 *48) / 2]
d = sqrt (144 / 2)
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d = sqrt (3 * 3 * 2 * 2 * 2)
d = 6 * sqrt (2)

You you did not list Addisons height but I will say she is at x feet above sea level. we plug in x for height:
d = sqrt [(3x) / 2]

It it says how much farther for Addison which means she can see farther. to find difference we just subtract kaylibs distance from Addison. so:
sqrt [(3x) / 2] - 6 * sqrt (2)

plug in your x and use a calculator to get a decimal approximation
8 0
3 years ago
Read 2 more answers
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