Solve for X in the equation
x2 - 2x - 63 = 0.
(x-9)(x+7)=0
x=9, or x=-7
To solve the equation x^2 - 2x - 63 = 0, we can use factoring, completing the square, or the quadratic formula.
Let's use factoring first. We need to find two numbers whose product is -63 and whose sum is -2. After some trial and error, we can find that the numbers are -9 and 7. Therefore, we can rewrite the equation as:
(x - 9)(x + 7) = 0
Now, we can set each factor equal to zero and solve for x:
x - 9 = 0 --> x = 9
x + 7 = 0 --> x = -7
So, the two solutions to the equation x^2 - 2x - 63 = 0 are x = 9 and x = -7.