Give exact solutions in simplest form No Decimals 1 Absolute

Give exact solutions in simplest form, No Decimals. 1. Absolute value /x-30/=2x+15 2.(2x-3)^2/3=-4

Solution

Solution:

1.

Here;

|x-30| = 2x+15

=> x-30 = ±(2x+15)

=> x = -45 and 5

2.

Here;

(2x-3)^2/3 = -4

take the cubes to both the sides:

=> (2x-3)² = -64

As the square of any positive or negative real number can\'t be negative.

=> No Real solution exists.