Respuesta :

Answer:

x^2-2x-35=0 is the equation of solution -5,7.

Step-by-step explanation:

Given : solutions of  equation  are –5 and 7.

To find : x² + __ x +__ = 0 complete the equation .

Solution : We have given that solutions of equation are -5, 7.

Standard form of quadratic equation  .

Its factors as  (x -α) (x- β)

Where ,  p = −(α + β)  and q = αβ.

So, roots are ( x- (-5)) (x-7)

p = -( -5+7) and q =(-5)(7).

p = -2  and q = -35.