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.