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Temka [501]
3 years ago
7

Solve the equation using the quadratic formula 3x^2 =2(2x+1)

Mathematics
2 answers:
shtirl [24]3 years ago
5 0
3x² = 2(2x+1)


Expand the brackets

3x² = 4x + 2


Rearrange

3x² - 4x - 2 = 0


Quadratic formula is

(-b ± √(b² - 4ac)) / 2a


Where

a = 3
b = -4
c = -2


Therefore, putting these values in to the quadratic formula:

x = 15.487
or
x = -3.487

Round the answers how you will.
Nadusha1986 [10]3 years ago
3 0
Step 1: Make equation equal to Zero

3x^2 = 4x + 2


3x^2 - 4x - 2 


Step 2: use equation

a= 3 b = -4 c= -2 

after plugging in answer should be

(2 + or - sqrt 10) / 3 


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Answer:

4 miles

Step-by-step explanation:

Let

x ----> the time to returned back biking in hours

d ---> the distance in miles

s ---> speed in miles per hour

Remember that

The speed or rate is equal to divide the distance by the time

s=\frac{d}{t}

The distance is equal to multiply the speed by the time

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we know that

18\ min=\frac{18}{60}\ hours

The distance to his friend's house and the distance of return is the same

so

10x=4(x+\frac{18}{60})

solve for x

10x=4x+\frac{18}{15}

subtract 4x both sides

10x-4x=\frac{18}{15}

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The total distance of the round trip is

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substitute the value of x

y=10(\frac{1}{5})+4(\frac{1}{5})+\frac{18}{15}

y=2+2=4\ miles

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3 years ago
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Naddika [18.5K]
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Step-by-step explanation:

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