Aquadratic equation is shown below: 25x2 + 10x + 1 = 0 part a: describe the solution(s) to the equation by just determining the radicand. show your work. (5 points) part b: solve 4x2 − 4x + 1 = 0 by using an appropriate method. show the steps of your work, and explain why you chose the method used. (5 points)

Part A)

The given equation is:



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. 

Part B)

The given equation is:



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 4x² 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: