Answer:
Find the complex solutions using the quadratic formula.
x
=
−
b
−
√
b
2
−
4
c
2
x
=
−
b
+
√
b
2
−
4
c
2
Step-by-step explanation:
Answer:
Step-by-step explanation:
1) Eliminate parentheses:
0.1x +18.8 = -4 +2x
22.8 = 1.9x . . . . . . . . . add 4 - 0.1x
12 = x . . . . . . . . . . . . . divide by 1.9
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2) Eliminate parentheses:
-16 +4x = 0.8x +12.8
3.2x = 28.8 . . . . . . . . add 16 - 0.8x
x = 9 . . . . . . . . . . . . . .divide by 3.2
_____
<em>Comments on the solutions</em>
The expression we add in each case eliminates the constant on one side of the equation and the variable term on the other side. That leaves an equation of the form ...
variable term = constant
We choose to eliminate the smaller variable term (the one with the coefficient farthest to the left on the number line). Then the constant we eliminate is the on on the other side of the equation. This choice ensures that the remaining variable term has a positive coefficient, tending to reduce errors.
__
You can work these problems by methods that eliminate fractions. Here, the fractions are decimal values, so are not that difficult to deal with. In any event, it is good to be able to work with numbers in any form: fractions, decimals, integers. It can save some steps.
Answer: √5
2.7 is a rational number because it's a terminating decimal which means that the decimal does end and all terminating decimals are rational numbers.
-3 is a rational number because it's an
integer and all integers are rational.
√4 is rational because it's a perfect square which means that a number can be multiplied by itself to get 4 and that number is 2.
√5 is no rational! It's impossible to find a whole number multiplied by itself to give us 5 which means that it's
non-terminating and non-repeating.
My calculator says that probability is about 76.34%.
