Question

4x² - 4x + 1 + 5x = x² + 6x + 9​

Answer 1

Ответ:

- 1; 2 2/3.

Объяснение:

4x² - 4x + 1 + 5x = x² + 6x + 9

4x² - 4x + 1 + 5x - x² - 6x - 9 = 0

3х² - 5х - 8 = 0

D = 25+4•3•8 = 121

x1 = (5+11)/6 = 8/3 = 2 2/3.

x2 = (5-11)/6 = -6/6 = - 1.

Answer 2

To solve the equation 4x² - 4x + 1 + 5x = x² + 6x + 9, you'll want to simplify and isolate x.

First, combine like terms on both sides of the equation:

4x² - 4x + 1 + 5x = x² + 6x + 9

Combine the x terms on the left side:

4x² + (5x - 4x) + 1 = x² + 6x + 9

Now, simplify the equation further:

4x² + x + 1 = x² + 6x + 9

Next, you can move all the terms to one side of the equation to set it equal to zero:

4x² + x + 1 - x² - 6x - 9 = 0

Now, combine like terms:

(4x² - x²) + (x - 6x) + (1 - 9) = 0

3x² - 5x - 8 = 0

Now, you have a quadratic equation in the form of ax² + bx + c = 0, where a = 3, b = -5, and c = -8. To solve this quadratic equation, you can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

Plugging in the values:

x = (-(-5) ± √((-5)² - 4(3)(-8))) / (2(3))

x = (5 ± √(25 + 96)) / 6

x = (5 ± √121) / 6

x = (5 ± 11) / 6

Now, you have two possible solutions:

1. x = (5 + 11) / 6 = 16 / 6 = 8/3
2. x = (5 - 11) / 6 = -6 / 6 = -1

So, the solutions to the equation are x = 8/3 and x = -1.