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Doss [256]
3 years ago
7

X² - 2ax + b = 0solve using completing the square​

Mathematics
2 answers:
iris [78.8K]3 years ago
8 0

Answer:

x^2-2ax+b=0\\or, x^2-2ax = -b\\or, x^2-2ax+a^2=a^2-b\\or, (x-a)^2 = a^2-b\\or, (x-a) =\sqrt{a^2-b}  , -\sqrt{a^2-b} \\or, x =a+\sqrt{a^2-b} ~OR~x=a-\sqrt{a^2-b}

prisoha [69]3 years ago
5 0
Use the formula
(b/2)*2
in order to create a new term. Solve for
by using this term to complete the square.
Cannot solve by completing the square.
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3.  GHE

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Step-by-step explanation:

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3 years ago
Oliver reads 28 1/2 pages of a book in 1 1/6 hours. Express his reading speed in pages per hour
Inessa05 [86]

Hello there

in order to find the answer you need to multiply 28.5 by 1 1/6

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the answer is 24.4 pages

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3 0
3 years ago
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In a week karry ran 9.3 miles and Tricia ran 4.4 miles.Use mental math to find how much farther Karry ran than Tricia.Explain ho
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6 0
3 years ago
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A certain library charges a flat fee of $5 for any overdue book for the first x days the book is overdue, and an additional fee
sweet [91]

Answer: 5 (x > 12) or 5 + m(12 - x) (x < 12)

Step-by-step explanation:

flat fee $5 for first x days +

m dolars per day after x days

So, if x > 12, for 12 days the fee is $5 because it is a flat fee that do not depend of the numbers of day.

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5 0
3 years ago
Davis is buying a new car for $21,349.00.He plans to make a down payment of $3,000.00.If he's to make monthly payments of $352 f
nekit [7.7K]
He actually borrowed P=21349-3000=18349 (present value)
Assume the monthly interest is i.
then future value due to loan:
F1=P(1+i)^n=18349(1+i)^(5*12)=18349(1+i)^60
future value from monthly payment of A=352
F2=A((1+i)^n-1)/i=352((1+i)^60-1)/i
Since F1=F2 for the same loan, we have
18349(1+i)^60=352((1+i)^60-1)/i
Simplify notation by defining R=1+i, then
18349(R^60)-352(R^60-1)/(R-1)=0
Simplify further by multiplication by (R-1)
f(R)=18349*R^60*(R-1)-352(R^60-1)=0
Solve for R by trial and error, or by iteration to get R=1.004732
The APR is therefore
12*(1.004732-1)=0.056784, or 5.678% approx.




8 0
3 years ago
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