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: Rex weighs more.
Step-by-step explanation:
You have to change both of the numbers into the same form. I did decimal form.
Rex - 11 7/18 = 11.389 (rounded to the hundredths)
Roman - 11.329
Rex is bigger.
<u><em>Hope this helps!</em></u>
Answer:
x + y = 4
Step-by-step explanation:
Given that, (x + iy)(1 - 3i) = 10, then we have to calculate x + y.
Now, (x + iy)(1 - 3i) = 10
⇒ x(1 - 3i) + iy(1 - 3i) = 10
⇒ x - 3xi + iy - 3yi² = 10
⇒ (x + 3y) + i(y - 3x) = 10
Now, comparing the real and imaginary part of both sides we get,
(x + 3y) = 10 ............. (1) and
y - 3x = 0
⇒ y = 3x ............... (2)
Solving equations (1) and (2) we get
x + 3(3x) = 10
⇒ x = 1
So, y = 3x = 3
Therefore, x + y = 1 + 3 = 4 (Answer)
im not sure but i think it is 15
