Answer:
x = 18 or x = -12.
Step-by-step explanation:
||x-3|-5| = 10 only if |x-3|-5 = 10 or |x-3|-5 = -10, i.e., if |x-3|=15 or |x-3|=-5; but |x-3| cannot be equal to -5, because |x-3| should be a non-negative value. Therefore, the first equation is true only if |x-3|=15. |x-3| = 15 only if x-3 = 15 or x-3 = -15, i.e., x = 18 or x = -12. We can verify this in the following way: ||18-3|-5|=||15|-5|=|10|=10 and ||-12-3|-5|=||-15|-5|=|15-5|=|10|=10. This verify that our solution is correct.
Answer:
These are the answers for question 3 only.
Step-by-step explanation:
3)
a. 3 <u>></u> -3
b. 12 <u><</u> 24
c. -12 <u>></u> -24
d. 5 <u>></u> -(-5) - (I'm not sure about this one)
e. 7.2 <u>></u> 7
f. -7.2 <u><</u> -7
g. -1.5 <u>=</u> -3/2
h. -4/5 <u>></u> -5/4
i. -3/5 <u>=</u> -6/10
j. -2/3 <u><</u> 1/3
Answer:
No Solutions
Step-by-step explanation:
First to complete the square, it will need to look something like
a^2+2ab+b^2
so in order to get that we can see that 4n^2+8n seems to be missing a piece.
a is the square root of 4n^2 which is 2n.
8n/2n=4
4/2=2
b=2
so now add 2 to both sides of the equation so now it's
4n^2+8n+4=-13
rewrite as (2n+2)^2=-13
Now you see a negative number as the result of a exponent.
A number squared will never be negative.
Therefore the answer is
No Solutions
