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valentina_108 [34]
3 years ago
7

Solve this quadratic equation by completing the square. x^2+10x=7

Mathematics
1 answer:
bogdanovich [222]3 years ago
3 0
Ok, so the quadratic coefient is 1, so great

take 1/2 of the linear coefient and square it
10/2=5, (5)^2=25
add that to both sides
x^2+10x+25=7+25
factor perfect square trionomial
(x+5)^2=32
squaer root both sides
x+5=+/-4√2
minus 5
x=-5+/-4√2


x=-5+4√2 and -5-4√2
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3/8

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3 years ago
What word goes in the blanks? 55 points!
mel-nik [20]

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8 0
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8 0
3 years ago
A party is thrown where 25 tables are used. Each table either sits 4people or 6 people. A total of 116 people can be sat at the
nignag [31]
Okay, so I'm gonna do this in terms of x and y, because that's what I'm used to.
s= x = 4-person tables
a= y = 6-person tables
x + y = 25
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4x + 6y = 116
           ~ You know that there will always be a total of 116 people at the tables. And in this case 4 and 6 are the number of people that can be seated at these tables, so in terms of people, you would say 4x and 6y.
To find out the amount of six people tables, solve for y and that's your answer.
You could do this a variety of ways.
One way is the substitution, for that you would rearrange the first equation for y, then plug in that value for y in the second equation and then solve for y. That value you get is your answer.


7 0
3 years ago
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