Question

Номер 863 Является ли число 5 корнем уравнения : 3) |х| =1/5; 6) |х+1|=5

Answer 1

Ответ:

3) нет 6) нет

Пошаговое объяснение:

3)  |х| =1/5

х=±1/5≠5

4) |х+1|=5

х+1=5  и х+1=-5

х=4 и х=-6

4≠5 и -6≠5

Answer 2

To check if a given number is a root of an equation, you simply need to substitute that number into the equation and see if it satisfies the equation. Let's check whether 5 is a root for the equations:

3. |x| = 1/5: To find the root of this equation, we need to consider both the positive and negative values of x. For positive x, the equation becomes:

|x| = 1/5

Since the absolute value of any positive number is just the number itself, we have:

x = 1/5

For negative x, the equation becomes:

|-x| = 1/5

Again, the absolute value of any negative number is just the positive value of that number, so we have:

-x = 1/5 x = -1/5

So, the roots of the equation |x| = 1/5 are x = 1/5 and x = -1/5.

Now, let's check the second equation:

6. |x + 1| = 5

For this equation, we also consider both positive and negative values of x. For positive x, we have:

|x + 1| = 5

If x + 1 is positive (x + 1 > 0), then the equation simplifies to:

x + 1 = 5

Solving for x, we get:

x = 5 - 1 x = 4

However, if x + 1 is negative (x + 1 < 0), then the equation simplifies to:

-(x + 1) = 5

Solving for x:

-x - 1 = 5 -x = 5 + 1 x = -6

So, the roots of the equation |x + 1| = 5 are x = 4 and x = -6.

In conclusion, neither 5 nor any other number is a root for the equation |x| = 1/5, and 5 is not a root for the equation |x + 1| = 5.