Answer :

The two numbers are 8 and - 1.

What is a quadratic equation ?

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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