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Solve each equation by using the square root property. 2x^2–3=7.

User Ratha
by
8.6k points

1 Answer

7 votes


x=\pm\sqrt[]{5}

Step-by-step explanation


2x^2-3=7

Step 1

add 3 in both sides


\begin{gathered} 2x^2-3=7 \\ 2x^2-3+3=7+3 \\ 2x^2=10 \\ \end{gathered}

Step 2

divide both sides by 2


\begin{gathered} 2x^2=10 \\ (2x^2)/(2)=(10)/(2) \\ x^2=5 \\ \end{gathered}

Step 3

then take the square root of both sides and solve for the variable


\begin{gathered} x^2=5 \\ \sqrt[]{x^2}=\text{ }\pm\sqrt[]{5} \\ x=\pm\sqrt[]{5} \end{gathered}

User Ivar Bonsaksen
by
8.4k points

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