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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, , ∞ )
6-5+3h*5h
a circular flower bed has radius 22 inches. what is the circumference of the bed to the nearest tenth of an inch?
x-2y = z for y
I can find what x means I just cant do the interval notation correctly
4x^2+8x-16=0
Let's begin with the graph of couple of polynomials. Do not worry regarding the equations for these polynomials. We are giving these just so we can utilize them to show so
a 9f2 square painting is mounted with border on a square frame. if the total area of the border is 3.25 ft2, what is the length of a side of the frame?
Four pounds of appples cost $1.96
-6k+7k
x+y=0 x=y+4
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