The two numbers are 8 and - 1.
A quadratic equation is of the form ax² + bx + c = 0.It has highest degree of 2 and has two roots.
According to the given question we have to find two numbers that when we add we get 7 and when we multiply we get - 8.
This can be solved by quadratic equation
x² + 7x - 8 = 0.
x =(7±[tex]\sqrt{49 + 32}[/tex] )/2.
x = (7±[tex]\sqrt{81}[/tex] )/2.
x = (7±9)/2.
x = 8 or x = - 1 .
This can also be solved by logic and practice for small numbers like two numbers multiples to - 8 and add to 7.
a + b = 7 and a×b = - 8.
(8×-1) = -8 and ( 8 - 1 ) = 7.
learn more about quadratic equation here :
https://brainly.com/question/17177510
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