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

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

The limit of (2x)/(x-7) as x approaches 7 from the right is positive infinity.

Solve the inequality 2x - 7 > 5. Find the solution to the inequality and learn how to isolate the variable. Answer: x > 6

Find the integral of x² + 3x - 2. Solution: (x³)/3 + (3x²)/2 - 2x + C

Calculate the definite integral of sin²(x) from 0 to π. Find the solution to this trigonometric integral problem, demonstrating the use of the identity sin²(x) = (1-cos(2x))/2. The answer is π/2.

Calculate the double integral ∫₀²∫₀¹ x²y dx dy. Step-by-step solution reveals the answer is 2/3.

Find the derivative of the function h(x) = ln(x² + 1) using the chain rule. The derivative is h'(x) = 2x / (x² + 1).

Learn how to find the derivative of the function g(x) = sin(x) * e^x using the product rule of differentiation. The solution reveals that the derivative is g'(x) = e^x (sin(x) + cos(x)).