SOLUTION: Find the possible values of d if real solutions exist for x² + 5x - 1 - d(x²+1) = 0

Algebra.Com
Question 847477: Find the possible values of d if real solutions exist for x² + 5x - 1
- d(x²+1) = 0

Answer by swincher4391(1107)   (Show Source): You can put this solution on YOUR website!
After doing some distributive property you'll end up with this result.
-dx^2-d+x^2+5x-1 = 0
Let's group the x^2,x, and constant terms together like this:
(1-d)x^2 +5x +(-1-d)
From there we can satisfy our discriminant






<--- sorry I have to put that 0 in or the +- doesn't show



RELATED QUESTIONS

Having issues with this. Complete the following: (a) Determine the number of the real... (answered by reviewermath)
given the equation x^2 +kx +2=0 find all possible values of k for one real solution, 2... (answered by jsmallt9)
Find -a + b - c + d if (x - 1/5)(x + 1)(x + 3/7) = ax^3 + bx^2 + cx + d for all real... (answered by Fombitz)
For what value(s) of d does the equation |x-c|=d have no real solution? For what values... (answered by greenestamps)
F(x)=√x^2+1/2 for all real values of x, which of th following is not a possible... (answered by Fombitz,Alan3354)
decide all values of b in the following equations that will give one or more real number... (answered by josmiceli)
Help! Determine the number of real solutions of -x^2 -6x - 12=0 Use the quadratic... (answered by jim_thompson5910)
Find all real solutions of the following equation:log[4]x+log [4] (x+12) = 3 Here are... (answered by Cintchr)
For what values of b will x^2+bx+1=0 have real solutions? (answered by stanbon)