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
Step-by-step explanation:
= 4/5 × 8 /9
We will cross multiply
= 40 × 36 / 45
= 1440 / 45
= 32
Answer:
.5 (1/2)
Step-by-step explanation:
First you need to solve the equation and find its answer. In this case, 4x+1=3 would equal 1/2 (in this case it'll be .5) Then you need to figure out how far it is from 0. Which is easy, since absolute value is always positive. Your answer will be .5
