What is the value of this expression?

Mathematics

2 answers:

OLEGan [10]3 years ago

4 0

Multiply the decimal numbers:

5.3 x 4.2 = 22.26

When multiplying scientific numbers, add the exponents together: 4+3 = 7

So you now have 22.26 x 10^7

Now you need to convert 22.26 to a scientific number, by only having one number to the left of the decimal point.

You need to move the decimal 1 place to the left, which means you need to add 1 more to the exponent.

The final answer would be 2.226 x 10^8

pantera1 [17]3 years ago

3 0

22.26 x 10^7 is the correct answer

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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.

Anarel [89]

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:

$x^2-2x+25$