Question

1) 8 |x| - 5x - 17 + 10 |x| = 0;​

Answer 1

вот ответ. Там короче ты должен(на) решить

Answer 2

To solve the equation 8 |x| - 5x - 17 + 10 |x| = 0, we need to consider the two possible cases: when x is positive and when x is negative. Let's solve each case separately.

Case 1: x is positive (x > 0) In this case, the absolute values simplify to x, and the equation becomes: 8x - 5x - 17 + 10x = 0

Combining like terms: 13x - 17 = 0

Adding 17 to both sides: 13x = 17

Dividing both sides by 13: x = 17/13

Case 2: x is negative (x < 0) In this case, the absolute values simplify to -x (since x is negative), and the equation becomes: 8(-x) - 5x - 17 + 10(-x) = 0

Simplifying: -8x - 5x - 17 - 10x = 0

Combining like terms: -23x - 17 = 0

Adding 17 to both sides: -23x = 17

Dividing both sides by -23 (note that the sign flips when dividing by a negative number): x = -17/23

Therefore, the solutions to the equation 8 |x| - 5x - 17 + 10 |x| = 0 are x = 17/13 and x = -17/23.