Questions: Solve the polynomial 9x^2 - 9 = 0

Transcript text: Solve the polynomial $9 x^{2}-9=0$

Solution

Step 1: Move the constant term to the other side

Start by isolating the $ x^2 $ term. Add 9 to both sides of the equation: \[ 9x^2 - 9 + 9 = 0 + 9 \] \[ 9x^2 = 9 \]

Step 2: Divide both sides by the coefficient of $ x^2 $

Divide both sides of the equation by 9 to solve for $ x^2 $: \[ \frac{9x^2}{9} = \frac{9}{9} \] \[ x^2 = 1 \]

Step 3: Take the square root of both sides

Take the square root of both sides to solve for $ x $: \[ x = \pm \sqrt{1} \] \[ x = \pm 1 \]

$\boxed{x = 1}$ and $\boxed{x = -1}$

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