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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.
is 55 an integer
w^2 + 30w + 81= (-9x^3 + 3x^2 - 15x)/(-3x) (14y = 8y^2 + y^3 + 12)/(6 + y) ac + xc + aw^2 + xw^2 10a^2- 27ab + 5b^2 For the last problem I have to incorporate the following words
If a graph shows all of the possibilities for the no. of refrigerators and the no. of TVs that will fit into an 18 wheeler, will the truck hold 71 refrigerators and 118 Tvs?
what is the proper way to state a negative exponent when dividing example 27exponent -2/3 divided by 27 exponent -1/3
In this section we will look at exponential & logarithm functions. Both of these functions are extremely important and have to be understood through anyone who is going on to late
(9x10^1)(2.3x10^0)
y+11=(y+10)+(y-7)
If you deposited $500 for 4 years at 6% annual interest, compounded semi-annually, how much money would you have saved?
What is a Math Basic Fact?
30. 5x-1 greater than 29
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