Question

 |x^2-8|x|+15|=хb

Answer 1

 |x^2-8|x|+15|= х : х= 11✓15/15 или х = - ✓119/15 или х=0

Answer 2

To solve the equation |x^2 - 8|x| + 15| = xb, let's break it down into different cases and solve each case separately. Note that the absolute value function can be positive or negative, depending on the value inside it.

Case 1: x ≥ 0 In this case, |x| = x. Substituting |x| = x in the equation, we have: x^2 - 8x + 15 = xb

Rearranging the equation: x^2 - (b+8)x + 15 = 0

We can solve this quadratic equation using factoring or the quadratic formula. Let's use factoring for simplicity: (x - 3)(x - 5) = 0

So, either x - 3 = 0 or x - 5 = 0: x = 3 or x = 5

Case 2: x < 0 In this case, |x| = -x. Substituting |x| = -x in the equation, we have: x^2 + 8x + 15 = xb

Rearranging the equation: x^2 - (b-8)x + 15 = 0

Again, we can solve this quadratic equation using factoring or the quadratic formula. Let's use factoring: (x + 3)(x + 5) = 0

So, either x + 3 = 0 or x + 5 = 0: x = -3 or x = -5

Therefore, the solutions to the equation |x^2 - 8|x| + 15| = xb are: x = 3, x = 5, x = -3, and x = -5.