To solve this quadratic equation, let's first simplify it by letting x = Х+97.
So the equation becomes x² + 34x + 120 = 0.
Now, we can solve this quadratic equation by factoring or using the quadratic formula.
Factoring:(x + 30)(x + 4) = 0x = -30 or x = -4
However, since we let x = Х+97, we need to substitute back to find the value of Х:
Х+97 = -30Х = -30 - 97Х = -127
or
Х+97 = -4Х = -4 - 97Х = -101
Therefore, the solutions to the equation (Х+97)² + 34(Х+97) + 120 = 0 are Х = -127 or Х = -101.
To solve this quadratic equation, let's first simplify it by letting x = Х+97.
So the equation becomes x² + 34x + 120 = 0.
Now, we can solve this quadratic equation by factoring or using the quadratic formula.
Factoring:
(x + 30)(x + 4) = 0
x = -30 or x = -4
However, since we let x = Х+97, we need to substitute back to find the value of Х:
Х+97 = -30
Х = -30 - 97
Х = -127
or
Х+97 = -4
Х = -4 - 97
Х = -101
Therefore, the solutions to the equation (Х+97)² + 34(Х+97) + 120 = 0 are Х = -127 or Х = -101.