SOLUTION: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form ax^2+bx+c=0. Solution:2,only solution

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form ax^2+bx+c=0. Solution:2,only solution      Log On


   

Question 472980: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form ax^2+bx+c=0. Solution:2,only solution
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Find A Quadratic Equation Given The Solutions


x=2 or x=2 Start with the given solutions.



x-2=0 or x-2=0 Get everything to one side so that only 0 remains on the right side (for both equations).



%28x-2%29%28x-2%29=0 Use the zero product property to combine the equations.



x%5E2-4x%2B4=0 FOIL out the left side.



So the answer is x%5E2-4x%2B4=0



To check your work, simply solve x%5E2-4x%2B4=0 for x. Doing so will show you that the solutions are x=2 or x=2, which confirm the answer.