PLEASE HELPPPP 4(x−2 1/4)=−3.7

1 answer:

5 0

First let’s convert the mixed numbers to improper fractions 2 1/4 =9/4
Then u get 4(X-9/4) =-3.7
Now your gonna divide both sides by four
4(X-9/4) over 4 = -3.7 over 4
4/4 =1 …X=-9/4
-3.7/4 = -0.925
Now you’re going to add 9/4 to each side
X-9/4+9/4=-0.925 +9/4
-9/4 + 9/4 =0 (X)
Now you have just -0.925 and nine fourths
I converted 9/4 —> 2.25
Then u still have -0.925
So add 2.25+-0.925 u get ur X which is 1.325 (this is ur answer)

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How many extraneous solutions does the equation below have? StartFraction 9 Over n squared 1 EndFraction = StartFraction n 3 Ove

BigorU [14]

The equation has one extraneous solution which is n ≈ 2.38450287.

Given that,

The equation;

$\dfrac{9}{n^2+1} =\dfrac{n+3}{4}$

We have to find,

How many extraneous solutions does the equation?

According to the question,

An extraneous solution is a solution value of the variable in the equations, that is found by solving the given equation algebraically but it is not a solution of the given equation.

To solve the equation cross multiplication process is applied following all the steps given below.

$\rm \dfrac{9}{n^2+1} =\dfrac{n+3}{4}\\\\9 (4) = (n+3) (n^2+1)\\\\36 = n(n^2+1) + 3 (n^2+1)\\\\36 = n^3+ n + 3n^2+3\\\\n^3+ n + 3n^2+3 - 36=0\\\\n^3+ 3n^2+n -33=0\\$