SOLUTION: The question states: Determine the nature of the roots: 5x^2-50x+125=0.

Question 83533: The question states: Determine the nature of the roots: 5x^2-50x+125=0.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Did you find the value of the discriminant ()?
=
The discriminant is zero: The solution has one real root, a double root.
This means that the curve (parabola) represented by the quadratic equation does not actually cross the x-axis, but just touches (abuts) the x-axis as you can see in the graph:

RELATED QUESTIONS
For the following quadratic equation, determine the nature of the roots. 5x^2-20x-225=0 (answered by ikleyn,MathLover1,MathTherapy)

Determine the nature of the roots of:... (answered by ewatrrr)

The question states: Find the descriminant and the nature of the roots for 4x^2+2x+5=0. (answered by Earlsdon)

discriminant to determine the nature of the roots of x^2 + 2x + 5 = 0 discriminant to... (answered by richard1234)

Determine the Nature of the Roots. t^2 + 8t - 20 =... (answered by ikleyn,MathTherapy)

Determine the Nature of the Roots. t^2 - 4t + 4 =... (answered by ikleyn,MathTherapy)

determine the nature of the solutions to the equation... (answered by Alan3354)

compute the discriminant and determine the nature of the solutions. 5x^2 + 6x - 3 = 0 (answered by aditya2117)

Determine the nature roots of the following without solving the equation 1. x2 + 3x - 9... (answered by longjonsilver)