Solve the equation fast please! I will say thank you and mark you Brainliest!
1 answer:
Answer:
x = ±5
Step-by-step explanation:
Multiply by (x-1)(x+1) and you get ...
(x+1) - (x -1) = (x -1)(x +1)/12
24 = x^2 -1 . . . . simplify and multiply by 12
0 = x^2 -25 . . . subtract 24
0 = (x -5)(x +5) . . . factor the difference of squares
Values of x that make the factors 0 are x=5 and x=-5.
The solutions are x=-5 or x=5.
_____
Subtracting the right side gives an equation that has its solutions at the x-intercepts of the left-side expression. These are seen to be -5 and +5 in the attached graph.
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I got D.
There's a few ways to solve it; I prefer using tables, but there are functions on a TI-84 that'll do it for you too. The logic here is, you have a standard normal distribution which means right away, the mean is 0 and the standard deviation is 1. This means you can use a Z table that helps you calculate the area beneath a normal curve for a range of values. Here, your two Z scores are -1.21 and .84. You might notice that this table doesn't account for negative values, but the cool thing about a normal distribution is that we can assume symmetry, so you can just look for 1.21 and call it good. The actual calculation here is:
1 - Z-score of 1.21 - Z-score .84 ... use the table or calculator
1 - .1131 - .2005 = .6864
Because this table calculates areas to the RIGHT of the mean, you have to play around with it a little to get the bit in the middle that your graph asks for. You subtract from 1 to make sure you're getting the area in the middle and not the area of the tails in this problem.
