A quadratic equation is shown below: 2x2 − 10x − 8 = 0 Part A: Describe the solution(s) to the equation by just determining the
radicand. Show your work. (5 points) Part B: Solve 4x2 − 12x + 5 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used. (5 points)
The radicand is >0 hence the quadratic equation has two distinct roots
PART B:
4x²-12x+5 = 0
We can use the factorization method to solve the equation Firstly, we multiply 4 by 5 to get 20 Then we find the pair of numbers that multiply gives 20 and sum gives -12
The pair of number is -2 and -10 Rewriting the equation 4x²-2x-10x+5 = 0 2x(2x-1)-5(2x-1) = 0 (2x-1)(2x-5) = 0