Question

I need help. What does n equal. alt="5n^{2}=7n-2" align="absmiddle" class="latex-formula">

Answer 1

Answer:

$\boxed{\sf n= \dfrac{2}{5} ,\: n=1}$

Step-by-step explanation:

$\rightarrow 5n^2 = 7n -2$

$\rightarrow 5n^2 - 7n +2=0$

$\rightarrow 5n^2 - 5n -2n+2=0$

$\rightarrow 5n(n - 1) -2(n-1)=0$

$\rightarrow (5n-2)(n-1)=0$

$\rightarrow 5n-2= 0,\: n-1=0$

$\rightarrow 5n= 2,\: n=1$

$\rightarrow n= \dfrac{2}{5} ,\: n=1$

Answer 2

• $\pmb{ n= \dfrac{2}{5} \:or~ n=1}$

Step-by-step explanation:

$\hookrightarrow\sf{5n^2 = 7n -2}\\\\\hookrightarrow\sf{5n^2 - 7n +2=0}\\\\\hookrightarrow\sf{5n^2 - (5+2)n +2=0}\\\\\hookrightarrow\sf{5n^2 - 5n -2n+2=0}\\\\\hookrightarrow\sf{ 5n(n - 1) -2(n-1)=0}\\\\\hookrightarrow\sf{ (5n-2)(n-1)=0}\\\\\hookrightarrow\sf{ 5n-2= 0\:or~ n-1=0}\\\\\hookrightarrow\sf{ 5n= 2\:or~n=1}\\\\\hookrightarrow\bold{ n= \dfrac{2}{5} \:or~ n=1}$