Respuesta :
The equation it has solutions of –5 and 7 is x^2-2x-37=0
We have equation
solutions of equation are –5 and 7.
We have to find complete the equation.
We have given that solutions of the equation are -5, 7.
The standard form of a quadratic equation.
What is the factor of the quadratic equation?
[tex](x -\alpha) (x- \beta)[/tex]
Where we have
[tex]p = -(\alpha+\beta) and q = (\alpha\times \beta)[/tex]
So, roots are
[tex]( x- (-5)) (x-7)[/tex]
[tex]p = -( -5+7)[/tex] , [tex]q =(-5)(7).[/tex]
[tex]p = -2 and q = -35.[/tex]
On substituting p and q in equation
[tex]x^2+(-2)x-37=0[/tex]
[tex]x^2-2x-37=0[/tex]
Therefore,x^2-2x-37=0 is the equation of solution -5,7.
To learn more about the quadratic factor visit:
https://brainly.com/question/472337
