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butalik [34]
4 years ago
6

How do you factor 8x^2+18x+9=0

Mathematics
1 answer:
jeka57 [31]4 years ago
8 0
First off, do a prime factoring of the constant and leading coefficient, namely 9 and 8 respectively.

so a prime factoring of 8 is 2*2*2, and a prime factoring of 9 is 3*3.

so, those are the factors... now, how do we produce products that gives us the middle coefficient +18?

well, let's see  hmmmm 2 * 3 * 3   and 2 * 3....so that's 18 + 6, that's 24.. .so... no good is not 18, let's try again.

2*2*3   and 2 * 3, so that's 12 + 6, now, that's +18

 so we'll use those, 2*2*3 and 2*3, or 4 * 3 an 2 * 3, (4x + 3)(2x + 3) = 0.
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What is the quotient in simplest form, 4/5 divided by 8.<br><br> A.1/10<br> B.1/2<br> C.8<br> D.10
Salsk061 [2.6K]
<h3>Answer:  A) 1/10</h3>

=============================================

Work Shown:

(4/5) divided by 8

(4/5) divided by (8/1)

(4/5) * (1/8) .... flip the second fraction and multiply

(4*1)/(5*8)

(4*1)/(5*4*2)

1/(5*2) ... the '4's cancel

1/10

--------------

Alternative method:

4/5 = 0.8 when using a calculator or long division

(4/5) divided by 8 = 0.8/8 = 0.1

0.1 = 1/10

The digit 1 in 0.1 is in the tenths place, so that's why 0.1 = 1/10

Or you could use your calculator to see that 1/10 = 0.1

Another idea is to do

0.1 = 0.1/1 = 0.1/1.0 = 1.0/10.0 = 1/10

here I moved the decimal point 2 spots to the right for the numerator and denominator.

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Step-by-step explanation: If it was 50,500 - 50,999 it would be : 51,000

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