Quadratic equation: x^2 - 5x + 6 = 0
To solve this equation by factoring, we need to find two numbers that multiply to 6 and add to -5. The numbers that satisfy this are -2 and -3.
So, we rewrite the equation as: x^2 - 2x - 3x + 6 = 0
Factor by grouping:
x(x - 2) - 3(x - 2) = 0
(x - 2)(x - 3) = 0
Now, we set each factor to zero:
x - 2 = 0 and x - 3 = 0
Solving for x, we get:
x = 2 and x = 3
Therefore, the solutions to the quadratic equation x^2 - 5x + 6 = 0 are x = 2 and x = 3. This is how a freshman could solve a simple quadratic equation by factoring.
1. Write a simple quadratic equation that can be solved by factoring. Solve your equation and show and explain your work how a freshman would
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1 answer