Answer: x only can have complex values, not real values.
x = -1/4 - 1/4i and x = -1/4 + 1/4 i
Explanation:
Finding the possible values of x in the expression given is solving the quadratic equation.
8x² + 4x = - 1
Rearrange the terms:
8 (x² + x/2) = - 1 ← common factor 8 in the left side
x² + x/2 = - 1/8 ← division property
x² + x/2 + 1/16 = - 1/8 + 1/16 ← addition property
(x + 1/4)² = -1/8 + 1/16 ← -factor the perfect square trinomial in the left side
(x + 1/4)² = - 1/16 ← add the fractions in the right side
x + 1/4 = (+/-) √ (-1/16) ← square roots on both sides
x + 1/4 = (+/-) (1/4)i ← complex solution
x = - 1/4 +/- 1/4i
x = - 1/4 - 1/4i and x = - 1/4 + 1/4 i ← answer
The correct answers would be both A and C
Answer:
1.) 4
2.) -11
3.) -4
4. 19
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
A cup with a hole in it loses 2 ounces of water in the first minute. This mathematically means
<u>Add -2</u> (loses ⇒ means getting less)
Then the cup loses 2 ounces of water in the second minute. This mathematically means
<u>Add -2</u> (loses ⇒ means getting less)
In total,
and means loses 4 ounces in two minutes.
Thus, the statement below does not describe a situation in which opposite quantities combine to make zero, so this statement is false
