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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, , ∞ )
find the domain and range of f(X)=2*3^x+5
6x^3+3x^2-18x
2 bicyclist riding on a circular track start at the same time. one can make it around the track in 8 min. the other takes 10 min. how long will it take the faster bicyclist to catc
To find the calorie density (D) in calories per ounce of food that contains c carories and weight w ounces is given by D=C/w
5x+2x-17=53
f(x)=x^2+6x-38
on my math home work it says draw a numberline and put the following numbers on order -2.5 2.5 4\3 10percent -100percent -6\3 02 [-4] o -4\5
can u show me how to solve this (5x+14)-(3x-5)
how to answer
The integral arises in probability theory. (a) Consult the library or Internet to find how this integral relates to the calculationof a probability using the Normal dist
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