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Zepler [3.9K]
3 years ago
10

Claudia has 5/10 of planted vegetables & Wayne has 2/3, who has the larger section of vegetables​

Mathematics
2 answers:
kramer3 years ago
4 0

Answer:

Wayne.

Step-by-step explanation:

5/10 is equal to 0.5

2/3 is equal to 0.66

0.66 is greater than 0.5

Airida [17]3 years ago
3 0
Wayne has the most vegetables
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For this case we must solve the following quadratic equation:

x ^ 2 + 2x-6 = 0

Where:

a = 1\\b = 2\\c = -6

The solution is given by:

x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}

Substituting:

x = \frac {-2 \pm \sqrt {2 ^ 2-4 (1) (- 6)}} {2 (1)}\\x = \frac {-2 \pm \sqrt {4 + 24}} {2}\\x = \frac {-2 \pm \sqrt {28}} {2}\\x = \frac {-2 \pm \sqrt {2 ^ 2 * 7}} {2}\\x = \frac {-2 \pm2 \sqrt {7}} {2}\\x = -1 \pm \sqrt {7}

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ANswer:

x_ {1} = - 1+ \sqrt {7}\\x_ {2} = - 1- \sqrt {7}

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These questions have asked us to solve by completing the square.
How do we? I have attached a picture, which will explain

6. x² + 2x = 8
→ b is the coefficient of x, which is 2
→ We take half of 2 and square it. Then, we add it to either side

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( x + 1 )( x + 1 ) = 9
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7. x² - 6x = 16

→ We do the same thing we did in the previous question

x² - 6x + (\frac{6}{2})^2 = 16 +  (\frac{6}{2})^2 
x² - 6x + 9 = 16 + 9
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\sqrt{(x-3)^2} =  \sqrt{25}
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( x^2 + \frac{3}{2} )^2 =  \frac{21}{4}
\sqrt{ x^2 + \frac{3}{2} } =  \sqrt{ \frac{21}{4} } 
x +  \frac{3}{2} = + \frac{ \sqrt{21} }{2} or x +\frac{3}{2} = -  \frac{ \sqrt{21} }{2}
x = \frac{-3+ \sqrt{21} }{2} or x = \frac{-3 - \sqrt{21}}{2}


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