Here are the essential concepts you must grasp in order to answer the question correctly.
Square Root Property
The square root property states that if x^2 = a, then x can be expressed as x = ±√a. This property allows us to solve quadratic equations by taking the square root of both sides, leading to two possible solutions: one positive and one negative.
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Quadratic Equations
Quadratic equations are polynomial equations of the form ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0. They can be solved using various methods, including factoring, completing the square, and applying the square root property when the equation is in the form x^2 = k.
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Isolating the Variable
Isolating the variable involves rearranging an equation to get the variable on one side and the constants on the other. In the context of the square root property, this means ensuring that the equation is in the form x^2 = a before applying the property to find the values of x.
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