What is the value of x in the equation x^2 - 5x + 6 = 0?
Practice Questions
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What is the value of x in the equation x^2 - 5x + 6 = 0?
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Questions & Step-by-Step Solutions
What is the value of x in the equation x^2 - 5x + 6 = 0?
Step 1: Look at the equation x^2 - 5x + 6 = 0. We need to factor it. We want to find two numbers that multiply to 6 (the last number) and add up to -5 (the middle number). The numbers are -2 and -3.
Step 2: Write the factored form of the equation using these numbers: (x - 2)(x - 3) = 0.
Step 3: Now, we set each factor equal to zero. First, we set x - 2 = 0. This gives us x = 2. Then, we set x - 3 = 0. This gives us x = 3.
Step 4: The solutions to the equation are x = 2 and x = 3.
