Question

4 корень х-2 +16=10×2 корень х-2​

Answer 1

Ответ:

Объяснение:

4√(x-2)+16=10*2√(x-2)

20√(x-2)-4√(x-2)=16

16√(x-2)=16 // : 16

√(x-2)=1  I²

x-2=1²

x-2=1

x=3

Answer 2

To solve the equation, let's first simplify it:

Given equation: 4√(x-2) + 16 = 10 * 2√(x-2)

Let's substitute y = √(x-2) for easier manipulation:

4y + 16 = 10 * 2y

Now, solve for y:

4y + 16 = 20y

Subtract 4y from both sides:

16 = 20y - 4y

Combine like terms:

16 = 16y

Now, divide by 16 to isolate y:

y = 1

Now, since y = √(x-2), we can write:

1 = √(x-2)

Square both sides to eliminate the square root:

1^2 = (√(x-2))^2

1 = x - 2

Now, isolate x by adding 2 to both sides:

x = 1 + 2

x = 3

So, the solution to the equation is x = 3.