How to find the roots of an quadratic equation - Free Math Help

The video tutorial explains how to find the roots of a quadratic equation. It begins by setting the equation to zero, identifying the coefficients A, B, and C, and then factoring the equation. The tutorial emphasizes the importance of using the zero product property to solve for the roots, ensuring the equation equals zero. The process involves determining two numbers that multiply to give the constant term and add to give the linear coefficient, leading to the factorization of the equation and solving for the variable.

What is the first step in solving the equation X^2 - 8X = 9?

• Add 9 to both sides

• Subtract 9 from both sides

• Divide both sides by 9

• Multiply both sides by 9

After rearranging the equation X^2 - 8X - 9 = 0, what are the values of A, B, and C?

• A = 1, B = -8, C = 9

• A = 1, B = 8, C = -9

• A = 1, B = 8, C = 9

• A = 1, B = -8, C = -9

Which pair of numbers multiplies to -9 and adds to -8?

• -3 and 3

• 9 and -1

• -9 and 1

• 3 and -3

What is the factored form of the equation X^2 - 8X - 9 = 0?

• (X - 3)(X + 3)

• (X + 9)(X - 1)

• (X + 3)(X - 3)

• (X - 9)(X + 1)

Using the Zero Product Property, what are the roots of the equation (X - 9)(X + 1) = 0?

• X = -9 and X = -1

• X = 9 and X = 1

• X = -9 and X = 1

• X = 9 and X = -1