Answer:
Step-by-step explanation:
2081.25 ; 2312.50 ; 2543.75 ; ..... 7500
a= 2081.25
d = 231.25
2081.25 + (n-1) * 231.25 = 7500
(n -1) *231.25 = 7500 - 2081.25
231.25n - 231.25 = 5418.75
231.25n = 5418.75 + 231.25
231.25n = 5650
n = 5650/231.25 = 565000/23125
n = 904/37
n = 24 years 157 days
Answer: The two roots are x = 3/2 and x = -2
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Explanation:
You have the right idea so far. But the two numbers should be 3 and -4 since
The -1 being the coefficient of the x term.
This means you need to change the -3x and 4x to 3x and -4x respectively. The other inner boxes are correct.
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Refer to the diagram below to see one way to fill out the box method, and that helps determine the factorization.
If we place a 2x to the left of -2x^2, then we need an -x up top because 2x*(-x) = -2x^2
Then based on that outer 2x, we need a -2 up top over the -4x. That way we get 2x*(-2) = -4x
So we have the factor -x-2 along the top
The last thing missing is the -3 to the left of 3x. Note how -3*(-x) = 3x in the left corner and -3*(-2) = 6 in the lower right corner.
We have the factor 2x-3 along the left side.
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The two factors are (2x-3) and (-x-2) which leads to the factorization (x+3)(-x+2)
The last thing to do is set each factor equal to 0 and solve for x
The two roots are x = 3/2 and x = -2
