Question

решите уравнение
(|3,5+2,9х-1,5х|+2¾)×0,5=|-10¾+5,35|​

Answer 1

(|3,5+2,9х-1,5х|+2¾)×0,5

= (|3,5 + 1,4х| + 2¾) × 0,5 (simplifying 2,9х - 1,5х to 1,4х)

= |3,5 + 1,4х| × 0,5 + 2/8 (distributing the 0,5 and simplifying 2¾ to 2/8)

= 0,5|3,5 + 1,4х| + 1/4

|-10¾ + 5,35|

= | -5,4¾ |

= 5,4¾

0,5|3,5 + 1,4х| + 1/4 = 5,4¾

0,5|3,5 + 1,4х| = 5,4¾ - 1/4

0,5|3,5 + 1,4х| = 5,35

|3,5 + 1,4х| = 10,7

3,5 + 1,4х = 10,7 or 3,5 + 1,4х = -10,7 1,4х = 7,2 or 1,4х = -14,2

х = 5,14 or х = -10,14

x = 5,14 or x = -10,14.