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:
Step-by-step explanation:
A corresponds to angle P, so angle P measues 70 degrees.
Similarly, angle Q measures 60 degrees and angle R measures 50 degrees.
Answer:
Step-by-step explanation:
It x
Answer:
(-2, 5) < x
Step-by-step explanation:
This means 5 meters/20 steps = x/1,000 steps. 20 times 50 is 1,000, so 5 times 50 is 250 meters. 5/20 can be also reduced to 1/4 = x/1000. Use cross products rule to get 4x = 1,000. Divided both sides by 4 to get x = 250 meters.
