Solve {eq}4x^{2} - 28x + 49 = 25 {/eq} by using the square root property.

Question:

Solve {eq}4x^{2} - 28x + 49 = 25 {/eq} by using the square root property.

Solving Quadratic Equation by Square Root Property

The square root property can be used to solve for the roots of a quadratic equation. Its general form is{eq}\displaystyle ax^{2}=k\: \: or\: \: (ax+b)^{2}=k {/eq}, where a, b, and k are constant, or any quadratic equation which can be rewritten in the same way. Note that in using the square root property, not all quadratic equation can be solved.

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Solve the quadratic equation using the square root property.

{eq}4x^{2}-28x+49=25 {/eq}

Square Root Rule:

If the {eq}\displaystyle x^{2}=k {/eq},...

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The Square Root Property

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Chapter 2 / Lesson 8
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Learn about the Square Root Property, its formula, and how to use it to solve quadratics.


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