find the quadratic equation with solutions -2 and -5

Question

-2 and -5

Answer 1

If the solutions to a quadratic equation are -2 and -5, then -2 and -5 are roots, so

 

[x - (-2)][x - (-5)] = 0

 

(x + 2)(x + 5) = 0

 

There can be a non-zero real number "a" multiplying the above factors, so the general equation is

 

a(x + 2)(x + 5) = 0

 

a(x² + 7x + 10) = 0 with a ≠ 0

Answer 2

                              I'' Take a guess here....

 

                                 -2X -5

                                 -2X-5                       

                            _______________

                             4X^2 +10X             

                                       +10X     +25                  

                     _____________________________                          

 

                         4X^2  +20X   +25   -------->Ansr