Question

При каких значениях переменной х выражение 5х+6х-1и 3х2+х+2 равны

Answer 1

5x+6x-1=3x²+x+2

3x²+x-5x-6x+2+1=0

3x²-10x+3=0

D=100-4*3*3=64

x1=(10+8)/6=3

x2=(10-8)/6=2/6=1/3

Ответ :1/3; 3

Answer 2

$....5x + 6x - 1 = 6x + x + 2 \\ 5x - 1 = x + 2 \\ 5x - x = 2 + 1 \\ 4x = 3 \\ x = \frac{3}{4}$

Answer 3

To find the values of variable x for which the two expressions are equal, we need to set them equal to each other and then solve for x.

The given expressions are:

1. 5x + 6x - 1
2. 3x^2 + x + 2

Set them equal to each other: 5x + 6x - 1 = 3x^2 + x + 2

Now, let's rearrange the equation to make it a quadratic equation:

3x^2 + x + 2 - (5x + 6x - 1) = 0

3x^2 + x + 2 - 5x - 6x + 1 = 0

3x^2 - 10x + 3 = 0

Now, we can solve this quadratic equation for x. We can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

In our case, a = 3, b = -10, and c = 3:

x = (10 ± √((-10)^2 - 4 * 3 * 3)) / (2 * 3)

x = (10 ± √(100 - 36)) / 6

x = (10 ± √64) / 6

x = (10 ± 8) / 6

Now, we have two possible solutions for x:

1. x = (10 + 8) / 6 x = 18 / 6 x = 3

2. x = (10 - 8) / 6 x = 2 / 6 x = 1/3

So, the two values of x that make the expressions equal are x = 3 and x = 1/3.