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Solve following.
|2x - 5 |= 9
Solution
Now, recall that absolute value does not just make all minus signs in plus signs. In order to solve these we've got to employ the formula above as in all cases the number on the right side of the equal sign is positive.
There actually isn't much to do here other than using the formula from above as noted above. All we have to note is that in the formula above p represents whatever is on the inside of the absolute value bars and so in this case we have,
2 x - 5 = -9 or 2 x - 5 = 9
At this instance we've got two linear equations which are easy to solve.
2 x = -4 or 2 x = 14
x = -2 or x = 7
Thus, we've got two solutions to the equation
x = -2 and x =7 .
Now, let's take a look at how to deal with equations for which b is zero or negative. We'll do this with an example.
We desire to look at the graph of quadratic function. The most general form of a quadratic function is, f (x ) = ax 2 + bx
We have to give one last note on interval notation before moving on to solving inequalities. Always recall that while we are writing down an interval notation for inequality that t
2x-3y=2 5x+4y=28
how do you do scientific notation
Example : determine the zeroes of following polynomials. P ( x)= 5x 5 - 20x 4 +5x3 + 50x2 - 20x - 40 = 5 (x + 1) 2 ( x - 2) 3 Solution In this the factoring has been
what is 3x+2 over 4 = 2
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Distance/Rate Problems These are some standard problems which most people think about while they think about Algebra word problems. The standard formula which we will be using
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A board 13 3/5 feet long is cut into 4 equal pieces to make a book shelf. What is the length of each shelf?
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