Question

Решить уравнение: |x-4|=20

Answer 1

Ответ:

ответ: -16 и 24

Объяснение:

$x-4=20\\x=20+4\\x=24\\x-4=-20\\x=-20+4\\x=-16$

Answer 2

To solve the equation |x - 4| = 20, we need to consider two cases, one with the absolute value of x - 4 being positive and one with it being negative.

Case 1: (x - 4) = 20 To find the solution when x - 4 is positive, we remove the absolute value bars and solve for x:

x - 4 = 20

Add 4 to both sides:

x = 20 + 4

x = 24

Case 2: -(x - 4) = 20 To find the solution when x - 4 is negative, we remove the absolute value bars and negate the expression inside the absolute value:

-(x - 4) = 20

Now distribute the negative sign:

-x + 4 = 20

Subtract 4 from both sides:

-x = 20 - 4

-x = 16

Now, multiply both sides by -1 to solve for x:

x = -16

So, the solutions to the equation |x - 4| = 20 are x = 24 and x = -16.