Solve for all values of xx by factoring.x, squared, minus, 5, x, plus, 10, equals, 4x 2 −5x+10=4
Question
Solve for all values of xx by factoring.x, squared, minus, 5, x, plus, 10, equals, 4x 2 −5x+10=4
Solution
First, let's rewrite the equation to collect all terms on one side:
x^2 - 5x + 10 - 4 = 0
This simplifies to:
x^2 - 5x + 6 = 0
Next, we factor the quadratic equation:
(x - 2)(x - 3) = 0
Setting each factor equal to zero gives the solutions to the equation:
x - 2 = 0 => x = 2
x - 3 = 0 => x = 3
So, the solutions to the equation x^2 - 5x + 6 = 0 are x = 2 and x = 3.
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