Question

3)|-х|+4|-х|=9 5)|2х|+3|2x|=2,4 Помогите

Answer 1

Ответ:

3) x1=-1,8 x2=1,8

5) x1=-0,3 x2=0,3

Answer 2

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

To solve this equation, we need to consider two cases: when x is positive and when x is negative.

Case 1: x is positive When x is positive, |-x| becomes x. So the equation becomes: x + 4x = 9 5x = 9 x = 9/5

Case 2: x is negative When x is negative, |-x| becomes -x. So the equation becomes: -x + 4(-x) = 9 -5x = 9 x = -9/5

Therefore, the solutions to the equation |-x| + 4|-x| = 9 are x = 9/5 and x = -9/5.

Equation 2: |2x| + 3|2x| = 2.4

To solve this equation, we again consider two cases: when x is positive and when x is negative.

Case 1: x is positive When x is positive, |2x| becomes 2x. So the equation becomes: 2x + 3(2x) = 2.4 8x = 2.4 x = 2.4/8

Case 2: x is negative When x is negative, |2x| becomes -2x. So the equation becomes: -2x + 3(-2x) = 2.4 -8x = 2.4 x = 2.4/-8

Therefore, the solutions to the equation |2x| + 3|2x| = 2.4 are x = 2.4/8 and x = 2.4/-8.

Please note that these solutions are approximate and rounded to two decimal places.

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