Question

5. Explain why the equation 6| x | + 25 = 15 has no solution?

Answer 1

$6|x|+25=15\ \ \ |-25\\\\6|x|=-10\ \ \ |:6\\\\|x|=-\dfrac{5}{3} < 0\\\\NO\ SOLUTION\to x\in\O$

$\text{For any}\ x\in\mathbb{R}\ \text{we have}\ |x|\geq0$

Answer 2

Answer:

When one solves, they arrive at a step where |x| is equal to a negative number. ... Since x can never be negative inside of the absolute value bars, there is no solution

Step-by-step explanation: