Solve for all values of xx by factoring.x, squared, minus, 5, x, minus, 1, equals, minus, 1x 2 −5x−1=−1
Question
Solve for all values of xx by factoring.x, squared, minus, 5, x, minus, 1, equals, minus, 1x 2 −5x−1=−1
Solution
The equation you provided is x^2 - 5x - 1 = -1.
First, let's simplify the equation by adding 1 to both sides to set the equation to equal zero. This gives us:
x^2 - 5x - 1 + 1 = 0
Which simplifies to:
x^2 - 5x = 0
Next, we can factor the equation. The common factor is x, so we get:
x(x - 5) = 0
Setting each factor equal to zero gives the solutions to the equation:
x = 0 or x = 5
So, the solutions to the equation x^2 - 5x - 1 = -1 are x = 0 and x = 5.
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