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Example: Solve following.
| 10 x - 3 |= 0
Solution
Let's approach this one through a geometric standpoint. It is saying that the quantity in the absolute value bars has a distance of zero from the origin. There is just one number that has the property and i.e. zero itself. Thus, we must have,
10x - 3 = 0 ⇒ x = 3/10
In this case we acquire a single solution.
Thus, if b is zero then we can just drop the absolute value bars and solve the equation. Likewise, if b is negative then there will be no solution to the equation.
To this point we've only looked at equations which involve an absolute value being equivalent to a number, however there is no cause to think that there ought to only be a number on the other side of the equal sign. Similarly, there is no cause to think that we can only have one absolute value in the problem. Thus, we have to take a look at a couple of these kinds of equations.
Sketch the graph of f ( x ) = ( x -1) 3 + 1 . Solution Now, as we talked regarding while we first looked at graphing earlier in
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(y+1/3x)^2
Find out the domain of each of the following functions. g( x ) = x+3 /x 2 + 3x -10 Solution The domain for this function is all of the values of x for which we don't hav
An inlet pipe can fill a large water tank in 4 hours. Another inlet pipe can fill the same water tank in 5 hours. Given an empty water tank, at 8:00 AM, activate both pipes. What t
2xsquare + 5x -12
x^3-3x^2+x-3=0
Part A. relates to data representation and Part B. relates to Boolean logic. Part A. Data Representation The very first thing you need to do to begin Part A is to make
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