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. solutions are -5,2 Thank you!

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. solutions are -5,2 Thank you!      Log On


   

Question 515707: 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. solutions are -5,2
Thank you!
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
Given the solutions (zeroes) are -5 and 2. That means the quadratic equation is:
a(x+5)(x-2) = 0
.
We cannot say what the value of 'a' is unless we have some additional information.
'a' is simply a constant that would affect the graph's position.
.
(x+5)(x-2) = x^2 +3x -10
.
In the following graph:
The red line assumes 'a' = 1.
The green line assumes 'a' = -1.
The blue line assumes 'a' = 1/2.
The purple line assumes 'a' = -1/4.
.