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egoroff_w [7]
3 years ago
7

Which method is best to use to solve the equation 4x^2– 29 = 0?

Mathematics
1 answer:
juin [17]3 years ago
7 0

\huge\text{Hey there!}

\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}

\textsf{KEEP: }\mathsf{\dfrac{29}{9}}\large\textsf{ because that helps solve for the x-value}

\textsf{NEW EQUATION: }\mathsf{x^2=\dfrac{29}{4}}

\large\textsf{TAKE the SQUARE ROOT}

\mathsf{x = \pm \sqrt{\dfrac{29}{4}}}

\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!}

\mathsf{\sqrt{\dfrac{29}{4}}= \boxed{\bf 2.692582}}}\\\\\mathsf{OR}\\\mathsf{- \sqrt{\dfrac{29}{4}} =\boxed{ \bf -2.692582}}

\boxed{\boxed{\huge\textsf{Answer: \bf x = 2.692582 or x = -2.692582 }}}\\\huge\checkmark

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

~\frak{Amphitrite1040:)}

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