How can I solve this quadratic equation?
An example of an AI chatbot conversation about tutoring in math concepts.
How can I solve this quadratic equation: x^2 - 5x + 6 = 0?
To solve the equation x^2 - 5x + 6 = 0, you can factor it. It factors to (x - 2)(x - 3) = 0.
What do I do after factoring it?
After factoring, set each factor equal to zero: x - 2 = 0 and x - 3 = 0. This gives you the solutions x = 2 and x = 3.
Can you explain why we set the factors to zero?
Sure! Setting the factors to zero helps us find the values of x that make the equation true, which are the roots of the quadratic.
What if the equation doesn't factor nicely?
If it doesn't factor nicely, you can use the quadratic formula: x = (-b ± √(b² - 4ac)) / 2a.
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