Question

Solve 3x^2=48 using any method

Answer 1

Answer:

x=4, -4

Step-by-step explanation:

Answer 2

Answer:

The solutions are:

$x = 4$

$x = -4$

Step-by-step explanation:

Solve:

$3x^2 = 48$

-Divide both sides by 3:

$\frac{3x^2}{3} = \frac{48}{3}$

$x^2 = 16$

-Subtract 16 from both sides:

$x^2 - 16 =16-16$

$x^2 - 16 = 0$

-Rewrite $x ^2 - 16$ as $x^2 - 4^2$ and the difference of squares can be factored by using this rule: $a^2-b^2 = (a-b)(a+b)$:

$(x-4)(x+4)=0$

-Solve $x - 4 = 0$ and solve $x +4=0$ :

$(x-4)(x+4)=0$

$x = 4$

$x = -4$

So, now you have found the answers.