Answer:
The equation has two solutions for x:
<u>x₁ = (8 + 10i)/2</u>
<u>x₂ = (8 - 10i)/2</u>
Step-by-step explanation:
Let's use the quadratic formula for solving for x in the equation:
X^2 - 8X + 41= 0
x² - 8x + 41 = 0
Let's recall that the quadratic formula is:
x = -b +/- (√b² - 4ac)/2a
Replacing with the real values, we have:
x = 8 +/- (√-8² - 4 * 1 * 41)/2 * 1
x = 8 +/- (√64 - 164)/2
x = 8 +/- (√-100)/2
x = 8 +/- (√-1 *100)/2
Let's recall that √-1 = i
x = 8 +/- 10i/2
<u>x₁ = (8 + 10i)/2</u>
<u>x₂ = (8 - 10i)/2</u>
Answer:
Addition property
Step-by-step explanation:
The plus sign in the question tells us it’s an addition property
Answer:
The answer is option (C). The width of the rectangle=6 inches
Step-by-step explanation:
<em>Step 1: Determine the dimensions of the rectangle</em>
width=w
length=w+6
<em>Step 2: Determine the perimeter of the rectangle</em>
P=2(L+W)
where;
P=perimeter
L=length
W=width
In our case;
P=36 inches
L=w+6
w=w
replacing;
2(w+w+6)=36
2(2 w+6)=36
4 w+12=36
4 w=36-12=24
4 w=24
w=24/4=6
W=6 inches
L=6+6=12 inches
The width of the rectangle=6 inches
Y=6 because if you multiply 2/3 by 6 you get 12/3 and reducing it, that becomes 4. If you did 4 then the answer would be 8/3 and reducing that is 2 2/3