Question

2x²-3x+104=-3x²-48+4

Answer 1

2х•2х-3х+104=-3х•-3х-48+4 4х-3х+104=9х-48+4 4х-3х-9х=-48-104+4 -8х=-148 х=-148:-8 х=18,5

Answer 2

To solve the equation, we need to bring all the terms to one side and simplify the expression. Let's start by combining like terms:

2x² - 3x + 104 = -3x² - 48 + 4

To combine the x² terms, move all the terms to one side:

2x² + 3x² - 3x + 104 + 48 - 4 = 0

Now, simplify the expression further:

5x² - 3x + 148 = 0

Now the equation is in the standard quadratic form (ax² + bx + c = 0), where a = 5, b = -3, and c = 148.

To solve this quadratic equation, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

Plugging in the values, we get:

x = (3 ± √((-3)² - 4 * 5 * 148)) / 2 * 5 x = (3 ± √(9 - 2960)) / 10 x = (3 ± √(-2951)) / 10

The expression inside the square root is negative, which means the solutions are complex numbers.

x = (3 + √2951i) / 10 x = (3 - √2951i) / 10

Where "i" is the imaginary unit (√-1). So the solutions to the equation are complex numbers:

x ≈ 0.3 + 0.543i x ≈ 0.3 - 0.543i