Question

-1/4 ×|х|+5,25=-3ответ: х1=ответ:х2=( первым запиши меньшее число)​

Answer 1

$- \frac{1}{4} \times |x| + 5.25 = - 3 \\ \\ - \frac{1}{4} \times |x| + \frac{21}{4} = - 3 \\ \\ - |x| + 21 = - 12 \\ \\ - |x| = - 12 - 21 \\ \\ - |x| = - 33 \\ \\ |x| = 33 \\ \\ x = 33 \: \: ili \: \: x = - 33$

Answer 2

To solve the equation, let's first isolate the absolute value term:

-1/4 × |х| + 5.25 = -3

Subtract 5.25 from both sides:

-1/4 × |х| = -3 - 5.25

-1/4 × |х| = -8.25

Next, let's get rid of the fraction by multiplying both sides by 4:

4 × (-1/4) × |х| = 4 × (-8.25)

-|х| = -33

To remove the negative sign in front of the absolute value, we can multiply both sides by -1:

-1 × (-|х|) = -1 × (-33)

|х| = 33

So we have two possible solutions for |х|: 33 and -33. Since the absolute value of a number is always positive, we can write two equations:

х = 33

х = -33

Therefore, the solutions to the equation are х1 = 33 and х2 = -33.