Answer:
x = 10 , -12
Step-by-step explanation:
Solution:-
- The given quadratic equation is to be solved using the quadratic formula. The general form of a quadratic equation is:
[tex]ax^2 + bx + c =0[/tex]
Where, [ a , b and c are constants ]
- The quadratic formula is given as:
[tex]x = \frac{-b+/-\sqrt{b^2 - 4*a*c} }{2a}[/tex]
- The given equation is:
[tex]x^2 + 2x - 120 = 0[/tex]
Where, a = 1 , b = 2 , c = -120
- Solve using quadratic formula:
[tex]x = \frac{-2+/-\sqrt{2^2 - 4*1*(-120)} }{2*1}\\\\x = \frac{-2+/-\sqrt{4 + 480} }{2}\\\\x = \frac{-2+/-(22) }{2}\\\\\\x = 10 , -12[/tex]
