A quadratic equation is shown below:25x2 + 10x + 1 = 0Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. (5 points)Part B: Solve 4x2 β 4x + 1 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used. (5 points)
Accepted Solution
A:
Part A)
The given equation is:
[tex]25 x^{2} +10x+1=0[/tex]
The radicand or discriminant(d) of the equation will be:
Since the discriminant is equal to 0, the given quadratic equation has only 1 root. In other words we can say the the given equation is a perfect square.Β
Part B)
The given equation is:
[tex]4 x^{2} -4x+1=0[/tex]
We can solve this expression by factorization. Factors of middle term are to be made in such a way that their product equals the product of first and third term and sum is equal to the middle term i.e. product should be 4xΒ² and sum should be -4x. So the two such terms are -2x and -2x. Using the factors and simplifying the equation by taking common we get: