Questions: x^2 - x + 5 = 5

x^2 - x + 5 = 5
Transcript text: $x^{2}-x+5=5$
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Solution

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Solution Steps

Step 1: Simplify the equation

Subtract 5 from both sides of the equation to isolate the quadratic terms: \[ x^{2} - x + 5 - 5 = 5 - 5 \] This simplifies to: \[ x^{2} - x = 0 \]

Step 2: Factor the equation

Factor out the common term \( x \) from the equation: \[ x(x - 1) = 0 \]

Step 3: Solve for \( x \)

Set each factor equal to zero and solve for \( x \): \[ x = 0 \quad \text{or} \quad x - 1 = 0 \] \[ x = 0 \quad \text{or} \quad x = 1 \]

Final Answer

\(\boxed{x = 0}\) and \(\boxed{x = 1}\)

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