(x-10)(x-10)=121 Answer

Jasonbradley

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Jun 17, 2024

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Solving the Equation: (x-10)(x-10) = 121

This equation involves a simple quadratic expression and we can solve it using the following steps:

1. Expand the Left Side

Start by expanding the left side of the equation:

(x-10)(x-10) = x² - 10x - 10x + 100

Simplifying this gives:

x² - 20x + 100 = 121

2. Rearrange the Equation

Next, subtract 121 from both sides to set the equation to zero:

x² - 20x + 100 - 121 = 0

This results in:

x² - 20x - 21 = 0

3. Factor the Quadratic Expression

Now, we need to factor the quadratic expression:

(x - 21)(x + 1) = 0

4. Solve for x

Finally, set each factor equal to zero and solve for x:

• x - 21 = 0 => x = 21
• x + 1 = 0 => x = -1

Solution

Therefore, the solutions to the equation (x-10)(x-10) = 121 are x = 21 and x = -1.