Question

Solve the following radical equation , Show work also please !

Answer 1

there is no solution

Answer 2

`\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:)}`