what are the solution(s) to the quadratic equation 9x² = 4?\no x = 4/9 and x = - 4/9\no x = 2/3 and x =…

what are the solution(s) to the quadratic equation 9x² = 4?\no x = 4/9 and x = - 4/9\no x = 2/3 and x = - 2/3\no x = 3/2 and x = - 3/2\no no real solution

what are the solution(s) to the quadratic equation 9x² = 4?\no x = 4/9 and x = - 4/9\no x = 2/3 and x = - 2/3\no x = 3/2 and x = - 3/2\no no real solution

Answer

Explanation:

Step1: Re - arrange la ecuación

Dividimos ambos lados de la ecuación $9x^{2}=4$ por 9: $x^{2}=\frac{4}{9}$

Step2: Encontrar las raíces

Tomamos la raíz cuadrada de ambos lados. Recordemos que si $x^{2}=a$ ($a\geq0$), entonces $x = \pm\sqrt{a}$. $x=\pm\sqrt{\frac{4}{9}}=\pm\frac{2}{3}$

Answer:

$x=\frac{2}{3}$ and $x =-\frac{2}{3}$