Respuesta :
Answer:
The solutions are:
[tex]x = 4[/tex]
[tex]x = -4[/tex]
Step-by-step explanation:
Solve:
[tex]3x^2 = 48[/tex]
-Divide both sides by 3:
[tex]\frac{3x^2}{3} = \frac{48}{3}[/tex]
[tex]x^2 = 16[/tex]
-Subtract 16 from both sides:
[tex]x^2 - 16 =16-16[/tex]
[tex]x^2 - 16 = 0[/tex]
-Rewrite [tex]x ^2 - 16[/tex] as [tex]x^2 - 4^2[/tex] and the difference of squares can be factored by using this rule: [tex]a^2-b^2 = (a-b)(a+b)[/tex]:
[tex](x-4)(x+4)=0[/tex]
-Solve [tex]x - 4 = 0[/tex] and solve [tex]x +4=0[/tex] :
[tex](x-4)(x+4)=0[/tex]
[tex]x = 4[/tex]
[tex]x = -4[/tex]
So, now you have found the answers.
