Question

|13 -|4X+5||=20 help please​

Answer 1

Пошаговое объяснение:

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$|4x+5|=33$

Раскрываем модуль, получаем систему уравнений:

$\left \{ {{4x+5=33} \atop {-4x-5=33}} \right. \ \ \ \ \left \{ {{4x=28\ |:4} \atop {4x=-38\ |:4}} \right. \ \ \ \ \left \{ {{x_1=7} \atop {x_2=-9,5}} \right..$

Ответ: x₁=7,  x₂=-9,5.

Answer 2

Ответ:

Ответ x=7 или же x=$-\frac{19}{2}$

Пошаговое объяснение:

Answer 3

To solve the equation |13 - |4X + 5|| = 20, we can break it down into two cases based on the inner absolute value:

Case 1: 4X + 5 is positive or zero: In this case, we don't need to change the inner absolute value because it's already positive or zero. So, the equation remains as is: |13 - (4X + 5)| = 20

Now, we can further simplify the equation by removing the outer absolute value:

13 - (4X + 5) = 20

Now, let's solve for X:

13 - 4X - 5 = 20

Subtract 13 from both sides:

-4X - 5 = 20 - 13

-4X - 5 = 7

Add 5 to both sides:

-4X = 7 + 5

-4X = 12

Now, divide by -4 to isolate X:

X = 12 / (-4)

X = -3

So, in Case 1, the solution is X = -3.

Case 2: 4X + 5 is negative: In this case, we need to negate the inner absolute value to make it positive:

|13 + (4X + 5)| = 20

Now, we can simplify the equation by removing the outer absolute value:

13 + (4X + 5) = 20

Let's solve for X:

13 + 4X + 5 = 20

Combine like terms:

4X + 18 = 20

Subtract 18 from both sides:

4X = 20 - 18

4X = 2

Now, divide by 4 to isolate X:

X = 2 / 4

X = 1/2

So, in Case 2, the solution is X = 1/2.

Therefore, the equation |13 - |4X + 5|| = 20 has two solutions: X = -3 and X = 1/2.