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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.
one no. is 7 more than another and its square is 77 more than the square of the smaller number.What are the numbers?
Example: Find out the partial fraction decomposition of following. 8x - 42 / x 2 + 3x -18 Solution The primary thing to do is factor out the denominator as
Find the following product (-4)(-2)(5)=
2x+y/x+3y=-1/7and 7x+36y=47/3 hence find p if xy=p=x/y
how to multiply binomial?
# how do I solve (4^16)1/2
f(x)-4x+4 find f(x+h)-f(x)/h
need help on intro into algebra college homework
Two cars are 500 miles apart & directly moving towards each other. One car is at a speed of 100 mph and the other is at 70 mph. Supposing that the cars start at the same time how
(b+a)+[-(a+0+b)]=0
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