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Solve the following radical equation , Show work also please !

Solve the following radical equation , Show work also please !-example-1
User BKK
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there is no solution
User Vasant
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6 votes


\huge\text{Hey there!}


\mathsf{-12=6√(x+4)}


\mathsf{6 √(x + 4)=-12}


\textsf{DIVIDE your BOTH SIDES by 6}


\mathsf{(6√(x + 4))/(6)= (-12)/(6)}


\textsf{Introduce the new temporary equation}


\mathsf{√(x + 4)=-2}


\textsf{SOLVE for your SQUARE ROOT }


\mathsf{\sqrt{{x + 4}}=-2}


\mathsf{Like: x + 4 = (-2)^2}


\textsf{SQUARE EACH of your SIDES}


\mathsf{x + 4 = 4}


\textsf{SUBTRACT your BOTH SIDES by 4 }


\mathsf{x + 4 -4= 4-4}


\mathsf{Cancel\ out\ 7-7 \ because\ it\ gives\ you\ 0}


\textsf{Solving for your last temporary question}


\mathsf{x = 4-4}


\mathsf{4-4 = \bf 0}


\mathsf{\bf x = 0}


\textsf{Plug your x-value (x = 0) to make sure it works for your original equation}


\textsf{You will see that it doesn’t work for the original problem so this means that the}\\\textsf{original equation \bf does NOT have any solutions.}


\boxed{\boxed{\large\text{Answer: \huge\bf No solutions}}}\huge\checkmark


\text{Good luck on your assignment and enjoy your day!}

~
\frak{Amphitrite1040:)}

User Parth Savadiya
by
7.5k points

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