If you're multiplying these terms with imaginary parts, do it just like you would any binomial multiplication. (4x+3i)(7x+4i). FOIL-ing that out we get, before simplification,
. There are 2 things to simplify here: Combining like terms and then dealing with the squared i.
is equal to -1, so 12(-1) = -12. Then we will combine the ix terms and in the end we will have
Step-by-step explanation:
factor 4 out of the variable terms, as this helps.
but my approach is simply to define the target and then calculate "backwards".
we want to find
(ax + b)² = a²x² + 2abx + b²
and now we compare with the original equation :
a²x² = 4x²
a² = 4
a = 2
2abx = 16x
2×2×bx = 16x
4b = 16
b = 4
b² = 16, but we have only 3, so we need to subtract 16-3 = 13 from the completed square.
so, our equation is
(2x + 4)² - 13 = 0
(2x + 4)² = 13
2x + 4 = sqrt(13)
2x = sqrt(13) - 4
x = sqrt(13)/2 - 2
Answer:
5
Step-by-step explanation:
Because the square root of 25 is 5 so then do 25 divided by 5 to get 5 as your awnser.
The question that can be best modeled as a division expression is how many 3/8's are in 48.
<h3>What is division? </h3>
Division is the process of dividing a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations. The other mathematical operations are addition, multiplication and division.
In order to determine the 3/8's in 48, divide 48 by 3/8.
In order to determine 3/8 of 48, multiply 48 by 3/8.
In order to determine the total of 3/8 and 48, add the numbers together.
In order to determine how much more than 3/8 is 48, subtract 3/8 from 48.
To learn more about division, please check: brainly.com/question/13281206
#SPJ1
Answer:
a > - 9
Step-by-step explanation:
Given
a + 6 > 0 ( subtract 6 from both sides )
a > - 6
Multiply both sides by 3 to clear the fraction
2a > - 18 ( divide both sides by 2 )
a > - 9
