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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.
Example Solve 3x 2 - 2 x -11 = 0. Solution In this case the polynomial doesn't factor thus we can't do that step. Though, still we do have to know where the polynomial i
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In his boat, Leonard can travel 24 miles upstreamin the same time it takes to travel 36 miles downstream
Add a Multiple of a Row to Another Row. In the operation we will replace row i with the addition of row i & a constant, c, times row j. The notation we'll utilize for this operat
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to get a discount at the diner, you must either be less than 10 years old or at least 55 years old.
HOW TO FACTOR THE GIVEN
(-9/8-8/9)- (-9/8-9)
1. In real world optimisation problems there is often an accompanying constraint that must also be satisfied. These problems are typically solved using "Lagrange Multipliers", whic
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