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Example Solve 3x2 - 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 is zero. We ought to use the quadratic formula for that. Here is what the quadratic formula gives us.
x = (1 ± √ 34)/3
In order to work the problem we'll have to reduce this to decimals.
x = (1 +√34)/3 = 2.27698 x = (1 -√34) /3 = -1.61032
From this instance on the procedure is identical to the earlier examples. In the number line below the dashed lines are at the estimated values of the two decimals above & the inequalities illustrate the value of the quadratic evaluated at the test points illustrated.
Thus, it looks like we required the two outer regions for the solution. Here is the inequality & interval notation for the solution.
-∞ < x < (1 - √34 )/3 and ( 1 + √34 )/3 -∞, (1- √ 34) /3 and ( 1 +√34 /3, , ∞ )
-∞, (1- √ 34) /3 and ( 1 +√34 /3, , ∞ )
Linear Systems with Two Variables A linear system of two equations along with two variables is any system which can be written in the form. ax +b
Y=5/4x-1/2
It is the final type of problems which we'll be looking at in this section. We are going to be looking at mixing solutions of distinct percentages to obtain a new percentage. The
Examples of polynomial that doesn't factor Now, all of the examples that we've worked to this point comprised factorable polynomials. However, that doesn't have to be the cas
"I wish these guys would stop fighting and be a little more accommodating of each other's point of view," thought TomHoffmeyer, Vice President of Marketing at the General Mills Com
how to answer
(x+a) (x+b) (x+c) =
3b^7*5b^4
(-9/8-8/9)- (-9/8-9)
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
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