Question

(2+х)2+(4х-1)3=10х-7 подробно решение

Answer 1

Ответ:

x=-2

Пошаговое объяснение:

(2+х)2+(4х-1)3=10х-7

4+2x+12x-3=10x-7

2x+12x-10x=-4+3-7

4x=-8

x=-8:4

x=-2

Answer 2

Ответ:

Ответ: -2

Пошаговое объяснение:

первое. это раскроем скобки и расставим знаки умножения: 2+х*2+4х-1*3=10х-7;

воторое. умножаем, в итоге: 4+2х+12х-3=10х-7;

третье. распределяем числа с "х" и обычные числа по разным сторонам (прим.: когда число переносят на другую сторону оно меняет свой знак): 2х+12х-10х= -7-4+3;

4х=-8;

четвертое. делим на "х": - (8:4)=-2

ответ: -2.

Надеюсь помогла)

Answer 3

To solve the equation (2+х)^2 + (4х-1)^3 = 10х - 7, we need to find the value(s) of 'x' that satisfy the equation. Let's break down the steps to solve it:

Step 1: Expand the terms on both sides of the equation: (2+х)^2 + (4х-1)^3 = 10х - 7

Expanding the left side: (2+х)^2 = (2+х)(2+х) = 4 + 4х + х + х^2 = 4 + 5х + х^2

(4х-1)^3 = (4х-1)(4х-1)(4х-1) = (16х^2 - 8х + 1)(4х-1) = 64х^3 - 48х^2 + 12х - 1

So, the equation becomes: 4 + 5х + х^2 + 64х^3 - 48х^2 + 12х - 1 = 10х - 7

Step 2: Combine like terms: Combine the terms with the same powers of 'x': 64х^3 - 48х^2 + х^2 + 5х + 12х = 10х - 7 - 4 + 1

Step 3: Simplify the equation: Combine the x^2, x, and constant terms on the left side: 64х^3 - 47х^2 + 17х = 10х - 10

Step 4: Move all the terms to one side to set the equation to zero: 64х^3 - 47х^2 + 17х - 10х + 10 = 0

Step 5: Simplify further: 64х^3 - 47х^2 + 7x + 10 = 0

At this point, we have a cubic equation in the form of ax^3 + bx^2 + cx + d = 0, where: a = 64 b = -47 c = 7 d = 10

Step 6: Solve the cubic equation: Solving cubic equations can be complex, and there isn't a straightforward formula like for quadratic equations. However, we can try to find rational roots using the rational root theorem and synthetic division.

By testing possible rational roots, we can see that 'x = 1' is a root of the equation. By performing synthetic division, we get:

1 | 64 -47 7 10 | 0 64 17 24

Copy code
 64 17 24 34

The result of synthetic division gives us the quotient: 64x^2 + 17x + 24, and the remainder: 34.

Now, we have a quadratic equation: 64x^2 + 17x + 24 = 0

Step 7: Solve the quadratic equation: We can solve the quadratic equation using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

where a = 64, b = 17, and c = 24

x = (-(17) ± √((17)^2 - 4 * 64 * 24)) / (2 * 64) x = (-17 ± √(289 - 6144)) / 128 x = (-17 ± √(-5855)) / 128

Since the discriminant (b^2 - 4ac) is negative, the quadratic equation has no real solutions. Therefore, there are no real values of 'x' that satisfy the original equation.

In conclusion, the given equation (2+х)^2 + (4х-1)^3 = 10х - 7 has no real solutions for 'x'.