Question

|х-1.5|=4Аа пожалуйста помогите​

Answer 1

|х - 1,5 |=4

х - 1,5 = 4

х₁ = 5,5

х - 1,5= -4

х₂ = -2,5

Ответ: х₁ = 5,5; х₂ = -2,5

Answer 2

To solve the equation |x - 1.5| = 4, we need to consider two cases: when the expression inside the absolute value is positive and when it is negative.

Case 1: x - 1.5 is positive In this case, the equation becomes x - 1.5 = 4. To solve for x, we can add 1.5 to both sides of the equation: x - 1.5 + 1.5 = 4 + 1.5 x = 5.5

Case 2: x - 1.5 is negative In this case, the equation becomes -(x - 1.5) = 4. To solve for x, we can multiply both sides of the equation by -1: -1(x - 1.5) = -1(4) -x + 1.5 = -4 To isolate x, we can subtract 1.5 from both sides of the equation: -x + 1.5 - 1.5 = -4 - 1.5 -x = -5.5 To solve for x, we can multiply both sides of the equation by -1: -1(-x) = -1(-5.5) x = 5.5

Therefore, the equation |x - 1.5| = 4 has two solutions: x = 5.5 in both cases.

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