Question 134949
{{{sqrt(4x-3)=sqrt(x+9)}}} Start with the given equation



{{{4x-3=x+9}}} Square both sides



{{{4x=x+9+3}}}Add 3 to both sides



{{{4x-x=9+3}}} Subtract x from both sides



{{{3x=9+3}}} Combine like terms on the left side



{{{3x=12}}} Combine like terms on the right side



{{{x=(12)/(3)}}} Divide both sides by 3 to isolate x




{{{x=4}}} Divide


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Answer:

So our answer is {{{x=4}}}