Question

$\frac{2}{5} ( \times - 3) {}^{2} - 1 = 0$
ppodrían solucionar esa cuenta rápido?​

Answer 1

• $\mathsf{ \dfrac{2}{5} \left ( x - 3 \right ) ^2 - 1 = 0 }$

• $\dfrac{2}{5} \left ( x - 3 \right ) ^2 = 1$

• $2 \left ( x - 3 \right ) ^2 = 5$

• $\left (x -3 \right ) ^2 = \dfrac{5}{2}$

• $\left ( x - 3 \right ) = \pm \sqrt{ \dfrac{5}{2} }$

• $x = 3 \pm \sqrt{ \dfrac{5}{2} }$

• $\boxed{ x = \begin{cases} x_1 = 3 + \sqrt{ \dfrac{5}{2} } \\ \\ x_2 = 3 - \sqrt{ \dfrac{ 5}{2} } \end{cases} }$