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
Answer:
(x-2)(x^2 +2x +4)/x
Step-by-step explanation:
X minus two into X squared plus 2X plus 4 whole by X(this should be the right answer)
Answer:
12 games
Step-by-step explanation:
Let x be the number of games played
The y won 75% of the games played and that was 9
x * 75% = 9
Change to decimal form
x * .75 = 9
Divide each side by .75
x * .75 /.75 = 9/.75
x =12
They played 12 games
Answer:
x < -7
Step-by-step explanation:
An inequality is solved similar to an equation with the exception that when multiplying or dividing by a negative coefficient, the sign must flip in the other direction. The original inequality is:
-6x > 42
To solve, you need to divide both sides of the inequality by -6, however, since you are dividing by a negative coefficient, the sign need to flip the other way:
-6x/-6 > 42/-6 = x < -7
