Answer:
3 ( 917 ) = 3 ( 900 ) + 3 ( 10 ) + 3 ( 7 )
5 ( 209 ) = 5 ( 200 ) + 5 ( 0 ) + 5 ( 9 )
6 ( 347 ) = 6 ( 300 ) + 6 ( 40 ) + 6 ( 7 )
9 ( 821 ) = 9 ( 800 ) + 9 ( 20 ) + 9 ( 1 )
11 ( 142 ) = 11 ( 100 ) + 11 ( 40 ) + 11 ( 2 )
Step-by-step explanation:
Answer:
Step-by-step explanation:
We need to evaluate 
(5+6i)(5+6i) = (25 + 36i² + 60i) = (25 - 36 + 60i) = -11 + 60i
= 
Now we rationalize the denominator.
Now, multiplying both the numerator and denominator by (6-i)
=
Formula used:
(a+b)² = a² + b² + 2ab
i² = -1
Answer:
8
Step-by-step explanation:
sqrt8*sqrt8 = sqrt8^2 = 8
Answer:
(d) x = 3 or x = 4
Step-by-step explanation:
The zero product property can be used to find the solutions to a polynomial equation when it is written in factored form.
__
Your polynomial can be put in factored form like this:
x² +12 = 7x . . . . . given
x² -7x +12 = 0 . . . . . standard form
(x -3)(x -4) = 0 . . . . . factored form*
x = 3 or x = 4 . . . . . . values of x that make the factors zero
_____
* The constants in the binomial factors must have a sum of -7 and a product of +12. It is often convenient to find them by listing factor pairs of 12:
12 = (-1)(-12) = (-2)(-6) = (-3)(-4)
Negative factors are used because we know the sum must be negative. Both have the same sign so their product is positive. The sums of the pairs shown are -13, -8, -7. The last pair is what we're looking for.
