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Question

9x21=09x^2-1=0

Solution

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We are given:

9x21=09x^2-1=0

Add 1 to both sides:

9x2=19x^2=1

Divide both sides by 9:

x2=19x^2=\dfrac{1}{9}

Use the square root property: If x2=ax^2=a, then x=±ax=\pm \sqrt{a}

x=±19x=\pm\sqrt{\dfrac{1}{9}}

x=±13(1)\color{#c34632}x=\pm\dfrac{1}{3}\color{white}\tag{1}

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