Solve 3x2 = 27. a ±3 b ±9 c square root 3 d 3 times square root 3
Solve 3x2 = 27.
a
±3
b
±9
c
square root 3
d
3 times square root 3
Hello!
3x² = 27
3x²/3 = 27/3
x² = 9
√x² = ±√9
x = ±3
The solution of the equation is :
↬ choice A
Solution:
Our equation is: [tex]\sf{3x^2=27}[/tex].
To solve it, we should isolate the x. So I begin by dividing each side by 3:
[tex]\sf{3x^2=27}[/tex]
[tex]\sf{x^2=9}[/tex]
Now, to get rid of the square on top of the x, I take the square-root of each side; the square-root and the square will cancel out on the left.
Keep in mind that once you take the square root of a number, you end up with TWO solutions.
So the result is:
[tex]\sf{x=3, x=-3}[/tex], which can be rewritten as x = ± 3
Hence, x = ± 3
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