Question

X^2-1+120=0 решить уравнение

Answer 1

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Answer 2

To solve the equation x^2 - 1 + 120 = 0, follow these steps:

Step 1: Write the equation in standard quadratic form, ax^2 + bx + c = 0. x^2 + 0x + 119 = 0

Step 2: Use the quadratic formula to find the solutions for x. The quadratic formula is given by: x = (-b ± √(b^2 - 4ac)) / 2a

In this case, a = 1, b = 0, and c = 119.

x = (0 ± √(0^2 - 4 * 1 * 119)) / 2 * 1 x = (0 ± √(0 - 476)) / 2 x = (0 ± √(-476)) / 2

Step 3: Since the discriminant (b^2 - 4ac) is negative (-476), the equation has no real solutions. Instead, it has two complex solutions, conjugates of each other.

x = (0 ± √(-476)) / 2 x = (0 ± √(476)i) / 2 x = ±(0 ± √(119)i)

So the solutions are: x = √(119)i x = -√(119)i

Where "i" is the imaginary unit, which is defined as the square root of -1.