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October 19, 2024

The problem involves finding the value of x in an expression where the greatest common factor (GCF) of two terms is given. The GCF is used to determine the value of x, but the problem cannot be solved without additional information about the variable y.

October 19, 2024

To find the area of the shaded region, subtract the area of a circle (formed by two semicircles) from the area of the enclosing rectangle.

October 19, 2024

The equation "\[\sqrt{(M-4)(M+4)} = 3\]" was solved by squaring both sides, expanding, simplifying, and taking the square root to find the solutions M = 5 and M = -5.

October 19, 2024

To find y when x = 4, substitute x = 4 into the equation y = 2x² - 3x + 1. Solving gives y = 21.

October 19, 2024

The limit of (1 + 1/x)^x as x approaches infinity is e.

October 19, 2024

The limit of sin(x)/x as x approaches 0 is 1, determined using L'Hôpital's rule.

October 19, 2024

The limit of (x² - 1) / (x - 1) as x approaches 1 is 2. This is found by factoring the numerator (difference of squares) and canceling the common factor of (x - 1).

October 18, 2024

The solution to the equation 25^x = 125 is x = 3/2. Squaring this value gives x^2 = 9/4.

October 18, 2024

The quadratic equation x^2 - x - 6 = 0 was solved by factoring. The solutions are x = 3 and x = -2.

October 17, 2024

The solution to 4 + 3 - 6 * (6 - 9) is 25.