j)

To solve the equation , you can first rearrange it into standard quadratic form: . Now, you can either factor the quadratic, use the quadratic formula, or complete the square. If you use the quadratic formula, , with , you’ll find the roots that satisfy the equation!

A common mistake in solving quadratics is neglecting to check for a negative under the square root, which can lead to imaginary solutions. Always ensure your discriminant ( ) is non-negative before diving into those square roots! Enjoy your math journey!