Question

what method would you choose to solve the equation $2x^2 - 7 = 9$? explain why you chose this method
id use basic algebraic rearrangement (isolate the squared term then take square roots). this equation has no x - term, so this is the quickest, simplest method no need for factoring or the quadratic formula
complete it
sample response/explanation: i would use the square root property of equality. because there is no x term, i would just add and divide to get $x^2$ by itself. then i would take the square root
which points did you include in your response?
check all of the boxes that apply.
☐ use the square root property of equality
☐ there is no x term.
☐ add and divide to isolate $x^2$.
done

Explanation:

All three options align with the valid reasoning for solving the quadratic equation \(2x^2 - 7 = 9\) using the square root property. The equation has no \(x\)-term, so we first isolate \(x^2\) via addition and division, then apply the square root property.

Answer:

• Use the square root property of equality.
• There is no x term.
• Add and divide to isolate \(x^2\).