SOLUTION: calculate the value of the discriminant of x^ + 2x +1 = 0 by examining the sign of the discriminant in part a, how many x- intercepts would the graph of y + x^ + 2x +1 have ? Why?

Question 135205: calculate the value of the discriminant of x^ + 2x +1 = 0 by examining the sign of the discriminant in part a, how many x- intercepts would the graph of y + x^ + 2x +1 have ? Why?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The discriminant of is . For your equation, a = 1, b = 2, and c =1.

If the discriminant is >0 (positive), then there are two different real roots to the equation. Graphically this means that the graph of the function will intersect the x axis in two different points.

If the discriminant = 0, then there are two real and identical roots (or one real root with a multiplicity of two). Graphically, this means that the curve is tangent to the x-axis at the vertex of the parabola and there is one point of intersection, or one x-intercept.

If the discriminant <0, (negative), then there are no real roots, although there is a conjugate pair of complex roots involving the imaginary number i where i is defined as . Graphically, the curve will have no points of intersection with the x-axis.
RELATED QUESTIONS
Calculate the value of the discriminant of x^(2 )+2x+1=0 By examining the sign of (answered by jim_thompson5910)

Calculate the value of the discriminant of x2+x+3=0 that is x squared By examining the (answered by Earlsdon)

5) a) Calculate the value of the discriminant of x^2+4x+4=0 b) By examining the... (answered by jim_thompson5910)

5a) Calculate the value of the discriminant of x^2+4x+4=0 B) By examining the sign... (answered by jim_thompson5910)

Calculate the value of the discriminant of x^2+4x+4=0 ,By examining the sign of the... (answered by nabla)

Calculate the value of the discriminant of x2+4x+4=0 By examining the sign of the... (answered by Alan3354)

a)calcualte the value of the discriminant of x^2+4x+4=0 b)By examining the sign of the... (answered by stanbon)

Calculate the value of the discriminant of x^2 + x + 3 = 0 By examining the sign of the... (answered by stanbon)

Please help me calculate the value of the discriminant of {{{x^2+x+3=0}}} and part b of... (answered by Alan3354)