Question:
If \( x^2 - 5x + 6 = 0 \), what are the possible values of \( x \)?
If \( x^2 - 5x + 6 = 0 \), what are the possible values of \( x \)?
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To solve quadratic equations, try factoring first to find roots quickly.
Updated On: Oct 4, 2025
- \( x = 1 \) or \( x = 6 \)
- \( x = 2 \) or \( x = 3 \)
- \( x = -2 \) or \( x = -3 \)
- \( x = -1 \) or \( x = 6 \)
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The Correct Option is B
Solution and Explanation
Factor the quadratic equation by finding two numbers that multiply to give the constant term and add to give the coefficient of the linear term:
\[
(x - 2)(x - 3) = 0.
\]
Set each factor equal to zero:
\[
x - 2 = 0
\Rightarrow
x = 2, \] \[ x - 3 = 0
\Rightarrow
x = 3. \] Therefore, \[ x = 2
\text{or}
x = 3. \]
\Rightarrow
x = 2, \] \[ x - 3 = 0
\Rightarrow
x = 3. \] Therefore, \[ x = 2
\text{or}
x = 3. \]
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