[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{4x^2 - 29 = 0}\\\\\large\textsf{ADD 29 to BOTH SIDES}\\\mathsf{4x^2 - 29 + 29 = 0 + 29}\\\\\textsf{CANCEL out: -29 + 29 because that gives you 0}\\\\\textsf{KEEP: 0 + 29 because that helps you solve for the x-value}\\\\\mathsf{0 + 29 = \bf 29}\\\\\textsf{NEW EQUATION: }\mathsf{4x^2 = 29}\\\\\large\textsf{DIVIDE 4 to BOTH SIDES}\mathsf{\dfrac{4x^2}{4}=\dfrac{29}{4}}\\\\\large\textsf{{CANCEL out:} }\mathsf{\dfrac{4}{4}}\textsf{ because that gives you 0}[/tex]
[tex]\textsf{KEEP: }\mathsf{\dfrac{29}{9}}\large\textsf{ because that helps solve for the x-value}[/tex]
[tex]\textsf{NEW EQUATION: }\mathsf{x^2=\dfrac{29}{4}}[/tex]
[tex]\large\textsf{TAKE the SQUARE ROOT}[/tex]
[tex]\mathsf{x = \pm \sqrt{\dfrac{29}{4}}}[/tex]
[tex]\text{Random fact: if you see the symbol }\mathsf{\bf \pm}\text{ it usually means plus-or-minus.}\\\\\text{Okay, now lets answer the last step to your question!}[/tex]
[tex]\mathsf{\sqrt{\dfrac{29}{4}}= \boxed{\bf 2.692582}}}\\\\\mathsf{OR}\\\mathsf{- \sqrt{\dfrac{29}{4}} =\boxed{ \bf -2.692582}}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \bf x = 2.692582 or x = -2.692582 }}}\\\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
