SOLUTION: Having issues with this. Complete the following: (a) Determine the number of the real solutions of -x^2-4x+1=0 (b) Use the quadratic formula to find the exact values of the rea

Algebra ->  Test -> SOLUTION: Having issues with this. Complete the following: (a) Determine the number of the real solutions of -x^2-4x+1=0 (b) Use the quadratic formula to find the exact values of the rea      Log On


   

Question 873125: Having issues with this.
Complete the following:
(a) Determine the number of the real solutions of -x^2-4x+1=0
(b) Use the quadratic formula to find the exact values of the real solutions, if they exist. Give the solution set.
© Use a calculator to find approximations for the answers. Round your answers to the nearest thousandth.
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the following:
(a) Determine the number of the real solutions of -x^2-4x+1=0
In -x%5E2-4x%2B1=0+, a = -1, b = -4, and c = 1.
The discriminant is b%5E2-4ac+=+%28-4%29%5E2+-4%28-1%29%281%29+=+20.
If the discriminant is greater than zero, then there are two real solutions.
Answer: highlight%282%29 real solutions

(b) Use the quadratic formula to find the exact values of the real solutions, if they exist. Give the solution set.
The quadratic formula is %28-b+%2B-+sqrt%28b%5E2-4ac%29%29%2F2a.
The solution is %284+%2B-+sqrt%2820%29%29%2F%28-2%29
Answers: -2%2Bsqrt%285%29 and -2-sqrt%285%29
© Use a calculator to find approximations for the answers. Round your answers to the nearest thousandth.
The approximate answers are 0.236 and -4.236.