Select the two values of x that are roots of this equation. 2x - 3 = -5x2
2 answers:
Answer:
x = -1 or x =
Step-by-step explanation:
2x - 3 = -5x²
This is a quadratic form of equation.
We will start by rearranging the equation, we will move all the variable to the left-hand side of the equation, which means the right-hand side of the equation will become zero.
Add 5x² to both-side of the equation
2x - 3 + 5x² = -5x² + 5x²
2x - 3 + 5x² = 0
5x² + 2x -3 = 0
Now we can now proceed to solve;
Find two factors such that it sum will give 5 and its product will give -15
The two numbers are 5 and -3 (That is 5×-3 = -15 and 5 +(-3)=2)
We will replace 2x by 5x and -3x
So that our equation becomes;
5x² + 5x -3x-3 = 0
We will now factorize
( 5x² + 5x) (-3x -3 )= 0
On the first bracket, 5x is common and so it will be factored out and on the second bracket -3 is common and so it will be factored out
5x(x + 1) -3(x + 1) = 0
(x+1)(5x-3) = 0
Either x +1 = 0 ⇒ x = -1
or
5x - 3 = 0
5x = 3
x =
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Answer:
And for this case the confidence interval is given by:
Since the confidenc einterval not contains the value 0 we can conclude that we have significant difference between the two population proportion of interest 1% of significance given. So then we can't conclude that the two proportions are equal
Step-by-step explanation:
Let p1 and p2 the population proportions of interest and let and
the estimators for the proportions we know that the confidence interval for the difference of proportions is given by this formula:
And for this case the confidence interval is given by:
Since the confidence interval not contains the value 0 we can conclude that we have significant difference between the two population proportion of interest 1% of significance given. So then we can't conclude that the two proportions are equal