Question

I х - 4 I + I x +1 I = 9.

Answer 1

Ответ:

х =2

Объяснение:

х+4+х+1=9

х^2+5=9

х^2=4

х=2

Answer 2

It looks like you have an equation involving absolute values. The equation you've provided is:

|x - 4| + |x + 1| = 9

To solve this equation, you'll need to consider different cases based on the signs of (x - 4) and (x + 1).

Case 1: Both (x - 4) and (x + 1) are non-negative: In this case, you can solve the equation as is: x - 4 + x + 1 = 9 2x - 3 = 9

Now, isolate the variable x: 2x = 9 + 3 2x = 12 x = 12 / 2 x = 6

Case 2: (x - 4) is non-negative, and (x + 1) is negative: In this case, you can write the equation as: x - 4 - (x + 1) = 9 x - 4 - x - 1 = 9

Now, solve for x: -x - 5 = 9

Add 5 to both sides: -x = 9 + 5 -x = 14

Multiply both sides by -1 to isolate x: x = -14

Case 3: (x - 4) is negative, and (x + 1) is non-negative: In this case, you can write the equation as: -(x - 4) + (x + 1) = 9 -1(x - 4) + x + 1 = 9

Now, solve for x: -x + 4 + x + 1 = 9

Combine like terms: 5 = 9

This case doesn't lead to a valid solution, as the equation becomes inconsistent.

So, the valid solutions for the equation |x - 4| + |x + 1| = 9 are x = 6 and x = -14.