5 + 5 = 10
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We are given the data 4 8 5 12 3 9 5 2 and is asked for the mean and standard deviation of the numbers or data set. The mean is the average equal to 6. The standard deviation reveals the spread of the data. In this case, the standard deviation is equal to 3.16
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Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
= 1 / 8 + ( - 5 / 12 ) - 3 / 8
= 1 / 8 - 5 / 12 - 3 / 8
= ( 3 - 10 - 9 ) / 24
= - 16 / 24
= - 2 / 3
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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