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N+ n- 2n=0Can you help me out with this please!!

1 Answer

4 votes

we have the equation


n^3+n^2-2n=0

step 1

Factor n

so


n\lbrack n^2+n-2\rbrack=0

Solve the quadratic equation, using the formula

we have

a=1

b=1

c=-2

substitute


n=\frac{-1\pm\sqrt[\square]{(1^2)-4(1)(-2)}}{2(1)}
\begin{gathered} n=\frac{-1\pm\sqrt[\square]{9}}{2} \\ \\ n=(-1\pm3)/(2) \end{gathered}

the values of n are

n=1 and n=-2

therefore


n^3+n^2-2n=n(n+2)(n-1)

the values of n are

n=0

n=-2

n=1

User Pelican
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