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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, , ∞ )
|3-x\2|-3>2 less then equal to
9
k^5k^-3k^4
The Timbuktu post office has only 3 cents and 7 cents stamps having run out of all other denominations. What are the six amounts of postage that cannot be created? How do you know
7-four divided by5x is greater than3 divided by 5_
Working together Jack and Bob can clean a place in 30 minutes. On his own, Jack can clean this place in 50 minutes. How long does it take Bob to clean the same place on his own?
Consider the linear transformation (a) Find the image of (3 , -2 , 3) under T. (b) Does the vector (5, 3) belong to the range of T? (c) Determine the matrix of the trans
3n-2+7=8
what is the sum of 7/9 - 1/3
factor out the greatest common fctor
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