The equation has one extraneous solution which is n ≈ 2.38450287.
Given that,
The equation;
![\dfrac{9}{n^2+1} =\dfrac{n+3}{4}](https://tex.z-dn.net/?f=%5Cdfrac%7B9%7D%7Bn%5E2%2B1%7D%20%3D%5Cdfrac%7Bn%2B3%7D%7B4%7D)
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\\](https://tex.z-dn.net/?f=%5Crm%20%5Cdfrac%7B9%7D%7Bn%5E2%2B1%7D%20%3D%5Cdfrac%7Bn%2B3%7D%7B4%7D%5C%5C%5C%5C9%20%284%29%20%3D%20%28n%2B3%29%20%28n%5E2%2B1%29%5C%5C%5C%5C36%20%3D%20n%28n%5E2%2B1%29%20%2B%203%20%28n%5E2%2B1%29%5C%5C%5C%5C36%20%3D%20n%5E3%2B%20n%20%2B%203n%5E2%2B3%5C%5C%5C%5Cn%5E3%2B%20n%20%2B%203n%5E2%2B3%20-%2036%3D0%5C%5C%5C%5Cn%5E3%2B%203n%5E2%2Bn%20-33%3D0%5C%5C)
The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y
with 0 and solve for x. The graph of the equation is attached.
n ≈ 2.38450287
Hence, The equation has one extraneous solution which is n ≈ 2.38450287
For more information refer to the link.
brainly.com/question/15070282
180-132+x-6x+12=0
48+x-6x+12=0
48-5x+12=0
60-5x=0
-5x=-60
x=12
Answer:
M2+m3=90
Step-by-step explanation:
Angle 1 already is equal to 90. A triangle can only go up to 180 wo the other two angles have to add up to 90.
Answer:
Ok so here are the simple rules of doing it (very easy) cause I’m not doing it all so . when multiplying a power with The same base keep the base but add the exponents. Dividing, keep the base (if their the same if not then its already simplified same with multiplication) but SUBTRACT the exponents. Also keep the parenthesis if it’s a negative number base.
I’ll do a few.
11) a^10. 11b) 5^4
12) (-2)^2.
13) 10^2. 13b) s^6
14) -4s^5(t^6) <- [Im not sure of this one)
15) x^3(y^3)