Question

4х(х-1)=(2х+5)(2х-5)+1

Answer 1

Ответ:

4х²-4х=4х²-25+1

-4х=-25+1

-4х=-24

х=6

Answer 2

To solve the given equation, follow these steps:

Step 1: Expand the right side of the equation Step 2: Simplify both sides of the equation Step 3: Solve for 'x'

Let's proceed with the steps:

Step 1: Expand the right side of the equation

4x(x - 1) = (2x + 5)(2x - 5) + 1

Expand the right side using the distributive property:

4x(x - 1) = (2x * 2x) + (2x * -5) + (5 * 2x) + (5 * -5) + 1

Step 2: Simplify both sides of the equation

4x^2 - 4x = 4x^2 - 10x + 10x - 25 + 1

Now, simplify the equation:

4x^2 - 4x = 4x^2 - 24

Step 3: Solve for 'x'

To solve for 'x', we can isolate 'x' on one side of the equation:

Subtract 4x^2 from both sides:

4x^2 - 4x - 4x^2 = 4x^2 - 4x^2 - 24

This simplifies to:

-4x = -24

Now, divide both sides by -4 to solve for 'x':

x = -24 / -4

x = 6

So, the solution to the equation is x = 6.