For this case we must write a quadratic equation of the form:
[tex]x ^ 2 + bx + c = 0[/tex]
We have two roots:
[tex]x_ {1} = - 7\\x_ {2} = 1[/tex]
Thus, we can rewrite the equation in a factored form as:
[tex](x + 7) (x-1) = 0[/tex]
If we apply distributive property we have:
[tex]x ^ 2-x + 7x-7 = 0[/tex]
Different signs are subtracted and the major sign is placed.
[tex]x ^ 2 + 6x-7 = 0[/tex]
Answer:
The quadratic equation is:
[tex]x ^ 2 + 6x-7 = 0[/tex]
