Question

-3х2-2х+6=-х2+3х-(-3+2х2)

Answer 1

Ответ:

Пошаговое объяснение:

-3х^2-2х+6=-х^2+3х-(-3+2х^2)

-3х^2-2х+6=-х^2+3х+3-2х^2

-3х2-2х+х2-3х+2х2=3-6

-5х=-3

Х=-3:(-5)

Х=0,6

Answer 2

To solve the equation -3x^2 - 2x + 6 = -x^2 + 3x - (-3 + 2x^2), we can start by simplifying the equation:

-3x^2 - 2x + 6 = -x^2 + 3x - (-3 + 2x^2)

First, distribute the negative sign on the right side:

-3x^2 - 2x + 6 = -x^2 + 3x + 3 - 2x^2

Now, let's combine like terms on both sides of the equation:

(-3x^2 + x^2) + (-2x - 3x) + 6 - 3 = 0

Simplify further:

-2x^2 - 5x + 3 = 0

Now, this is a quadratic equation in the form of ax^2 + bx + c = 0, where a = -2, b = -5, and c = 3. To solve for x, you can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In this case:

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

x = (5 ± √(25 + 24)) / (-4)

x = (5 ± √49) / (-4)

x = (5 ± 7) / (-4)

Now, we have two possible solutions:

1. x = (5 + 7) / (-4) = 12 / (-4) = -3
2. x = (5 - 7) / (-4) = -2 / (-4) = 1/2

So, the solutions to the equation are x = -3 and x = 1/2.

Answer 3

To solve the equation -3x^2 - 2x + 6 = -x^2 + 3x - (-3 + 2x^2), we need to simplify it and find the value of x that satisfies the equation.

First, simplify both sides of the equation:

-3x^2 - 2x + 6 = -x^2 + 3x - (-3 + 2x^2)

Now, let's get rid of the parentheses on the right side of the equation:

-3x^2 - 2x + 6 = -x^2 + 3x + (3 - 2x^2)

Now, distribute the negative sign on the right side of the equation:

-3x^2 - 2x + 6 = -x^2 + 3x + 3 + 2x^2

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

-3x^2 - x^2 - 2x + 3x + 6 - 3 = 0

Simplify further:

-4x^2 + x + 3 = 0

Now, you have a quadratic equation in the form ax^2 + bx + c = 0, where a = -4, b = 1, and c = 3. To solve for x, you can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

Plugging in the values:

x = (-1 ± √(1^2 - 4(-4)(3))) / (2(-4))

x = (-1 ± √(1 + 48)) / (-8)

x = (-1 ± √49) / (-8)

x = (-1 ± 7) / (-8)

Now, you have two possible solutions:

1. x = ( -1 + 7 ) / (-8) = 6 / (-8) = -3/4
2. x = ( -1 - 7 ) / (-8) = -8 / (-8) = 1

So, the solutions for the equation are x = -3/4 and x = 1.