Solve each equation in Exercises 15–34 by the square root property. $3 (x - 4)^{2} = 15$

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Start with the given equation: $3(x - 4)^2 = 15$.

Divide both sides of the equation by 3 to isolate the squared term: $(x - 4)^2 = \frac{15}{3}$.

Simplify the right side: $(x - 4)^2 = 5$.

Apply the square root property, which states that if $a^2 = b$, then $a = \pm \sqrt{b}$. So, $x - 4 = \pm \sqrt{5}$.

Solve for $x$ by adding 4 to both sides: $x = 4 \pm \sqrt{5}$.

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Square Root Property

The square root property states that if x² = k, then x = ±√k. This property is used to solve equations where a variable is squared and isolated, allowing you to take the square root of both sides to find the variable's values.

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