Question

A) 2•[x-2]=12 b) 24•[4x-10]=120

Answer 1

А) х= -4 х²=8

Б) х¹= 1,25 х²=3,75

Answer 2

Let's solve these equations step by step:

a) 2•[x-2]=12

First, distribute the 2 on the left side of the equation:

2(x - 2) = 12

Now, simplify the equation:

2x - 4 = 12

Add 4 to both sides to isolate the 2x term:

2x = 12 + 4 2x = 16

Now, divide both sides by 2 to solve for x:

2x/2 = 16/2 x = 8

So, the solution to equation a) is x = 8.

b) 24•[4x-10]=120

First, distribute the 24 on the left side of the equation:

24(4x - 10) = 120

Now, simplify the equation:

96x - 240 = 120

Add 240 to both sides to isolate the 96x term:

96x = 120 + 240 96x = 360

Now, divide both sides by 96 to solve for x:

96x/96 = 360/96 x = 15/4

So, the solution to equation b) is x = 15/4 or x = 3.75.