Question

A quadratic equation is shown below: 10x2 − 3x − 1 = 0 Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. (5 points) Part B: Solve 16x2 − 2x − 5 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used. (5 points)

Answer 1

For this case we have the following equation: 10x2 - 3x - 1 = 0 The radicand of the equation is: root (b ^ 2 - 4 * a * c) Substituting values: root ((- 3) ^ 2 - 4 * (10) * (- 1)) root (9 + 40) root (49) 49> 0 Therefore, the function has two real roots.
Part B: For this case we have the following equation: 16x2 - 2x - 5 = 0 Factoring we have: (2x + 1) * (8x-5) = 0 The solutions are: x = -1/2 x = 5/8 The method of factoring is usually faster when solving quadratic equations.
I hope this helps you with your Mathematics.