Answer:
If the roots of an equation are x = -1 ± i, it means that the factorized form of that equation is: (x + 1 + i)(x+ 1 - i) = 0.
Using the distributive property, we have:
(x + 1 + i)(x+ 1 - i) = x^2 + x - ix + x + 1 - i + ix + i + 1
Combining like-terms and simplifying:
⇒ x^2 + x + x + 1 + 1 = x^2 + 2x + 2 = 0
Therefore, the stament is correct. If the roots of an equation are x = -1 ± i, then the equation is: x^2 + 2x + 2 = 0.
The new tea is 75% Earl Grey and 25% Orange Pekoe.
$4 / pound times 75% = $3
$2 / pound times 25% = $0.5
$3 + $0.5 = $3.50 / pound
600 pounds times 75% = 450 pounds of Earl Grey
600 pounds times 25% = 150 pounds of Orange Pekoe
Answer:
positive 3/2
Step-by-step explanation:
Answer:
x = 9
Step-by-step explanation:
84 + (7x + 5) + (180 - (17x-1)) = 180
84 + 7x + 5 + (181 - 17x) = 180
270 + (-10x) = 180
90 = 10x
x = 9
