Question

3х + 2х^2– 5 = 0 х^2+ 2 + 3х = 0 х2+ 4х + 4 = 0 3х^2 + 8х = 3 6а^2+ 2 = 6а

Answer 1

Ответ:

1) Х1=-2,5; Х2=1

2) Х1=-2; Х2=-1

3) Х=-2

4) Х1=-3; Х2=1/3

5) Корней нет

Answer 2

Ответ:

-1 ; 2.5

нет корней

-2

1/3; -3

нет

Объяснение:

d=b²-4ac! x=-b±✓d/2a

d=9+4*2*5=49

x=-3±7/4=2.5 ;-1

и тд

Answer 3

Let's solve each of the given equations step by step:

1. 3x + 2x^2 - 5 = 0

To solve this quadratic equation, we can rearrange it in the standard form:

2x^2 + 3x - 5 = 0

Now we can apply the quadratic formula to find the solutions for x:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 2, b = 3, and c = -5. Substituting these values into the quadratic formula, we have:

x = (-3 ± √(3^2 - 4 * 2 * -5)) / (2 * 2) x = (-3 ± √(9 + 40)) / 4 x = (-3 ± √49) / 4

Simplifying further:

x = (-3 ± 7) / 4

We get two solutions:

x1 = (-3 + 7) / 4 = 1 x2 = (-3 - 7) / 4 = -2

Therefore, the solutions to the equation 3x + 2x^2 - 5 = 0 are x = 1 and x = -2.

2. x^2 + 2 + 3x = 0

We have a quadratic equation. Rearranging it:

x^2 + 3x + 2 = 0

We can factorize the quadratic equation:

(x + 2)(x + 1) = 0

Setting each factor equal to zero:

x + 2 = 0 --> x = -2 x + 1 = 0 --> x = -1

Therefore, the solutions to the equation x^2 + 2 + 3x = 0 are x = -2 and x = -1.

3. x^2 + 4x + 4 = 0

This quadratic equation can be factored as a perfect square:

(x + 2)^2 = 0

Setting the square term equal to zero:

x + 2 = 0 --> x = -2

So the only solution to the equation x^2 + 4x + 4 = 0 is x = -2.

4. 3x^2 + 8x = 3

Rearranging the equation:

3x^2 + 8x - 3 = 0

Using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 3, b = 8, and c = -3. Substituting these values into the formula:

x = (-8 ± √(8^2 - 4 * 3 * -3)) / (2 * 3) x = (-8 ± √(64 + 36)) / 6 x = (-8 ± √100) / 6

Simplifying further:

x = (-8 ± 10) / 6

We get two solutions:

x1 = (-8 + 10) / 6 = 1/3 x2 = (-8 - 10) / 6 = -3

Therefore, the solutions to the equation 3x^2 + 8x = 3 are x = 1/3 and x = -3.

5. 6a^2 + 2 = 6a

Rearranging the equation:

6a^2 - 6a + 2 = 0

This quadratic equation cannot be easily factored or solved using the quadratic formula. We can use numerical methods such as the Newton-Raphson method or graphing techniques to approximate the solutions.