How do you solve $16x^2 = 24$ ?

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Answer 1 · 2018-03-02T00:54:29

The answers are $sqrt6/2$ and $-sqrt6/2$ .

$16x^2=24$

$(16x^2)/16=24/16$

$(color(red)cancel(color(black)16)x^2)/color(red)cancel(color(black)16)=24/16$

$x^2=24/16$

$x^2=3/2$

$sqrt(x^2)=sqrt(3/2)$

$x=+-sqrt(3/2)$

$color(white)x=+-sqrt3/sqrt2$

$color(white)x=+-sqrt3/sqrt2color(red)(*sqrt2/sqrt2)$

$color(white)x=+-(sqrt3*sqrt2)/(sqrt2*sqrt2)$

$color(white)x=+-(sqrt(3*2))/(sqrt(2*2))$

$color(white)x=+-sqrt6/sqrt4$

$color(white)x=+-sqrt6/2$

Those are the two answers.

How do you solve 16x^2 = 2416x^2 = 24?