For this case we have a quadratic equation, [tex]x ^ 2 + 28x-60 = 0[/tex], of the form [tex]ax ^ 2 + bx + c = 0[/tex]
Where:
[tex]a = 1\\b = 28\\c = -60[/tex]
We can solve the equation by factoring, that is, we bias two numbers that multiplied give as a result -60 and added as a result 28.
These numbers are:
[tex]+30\ and\ -2\\+ 30-2 = + 28\\+ 30 * -2 + -60[/tex]
Then, the factorization is given by:
[tex](x-2) (x + 30) = 0[/tex]
The roots are:
[tex]x_ {1} = 2\\x_ {2} = - 30[/tex]
Answer:
[tex]x_ {1} = 2\\x_ {2} = - 30[/tex]
