Write the fraction 9/54 in simplest form.

Mathematics

2 answers:

Annette [7]2 years ago

7 0

Answer: 1/6

9 goes into 9 once

9 goes into 54 six times

slamgirl [31]2 years ago

5 0

Answer:

1/6

Step-by-step explanation:

Divide by 3

9/54 = 3 / 18

You can again divide by 3 for the answer

1/6

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The roots of a quadratic equation ax2+bx+c=0 are 1+i 5 and 1−i 5 . Find possible values of a, b and c.

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Answer:

Step-by-step explanation:

If the roots are 1 + 5i and 1 - 5i, then you need the factors that result from those roots. They are (x - 1 + 5i) and (x - 1 - 5i). Now what you do with those is FOIL them out. Doing that gives you the following:

$x^2-x+5ix-x+1-5i-5ix+5i-25i^2$ (what a mess, huh?)

The good thing is that several of those terms cancel each other out. +5ix cancels out the -5ix; -5i cancels out the 5i; and the 2 -x terms combine to -2x. That leaves you with:

$x^2-2x-25i^2$

Obviously you're in the section in math that deals with complex (imaginary) numbers so you should know that i-squared is equal to -1. Making that replacement:

$x^2-2x+25$