Question

(4x + 3)² - (4x - 5) (4x + 5) - 24x = 34.​

Answer 1

Наверно так:
16х^2+9-(16х^2-25)-24х=34
16^2+9-16х^2+25-24х=34
-24х=34-9-25
-24х=0
Х=0

Answer 2

To solve the equation (4x + 3)² - (4x - 5) (4x + 5) - 24x = 34, we'll simplify the left side of the equation and then solve for x.

Let's start by expanding the square term:

(4x + 3)² = (4x + 3)(4x + 3) = 16x² + 24x + 9

Next, let's expand the second term:

(4x - 5)(4x + 5) = 16x² - 25

Now we can substitute these simplified terms into the equation:

(16x² + 24x + 9) - (16x² - 25) - 24x = 34

Simplifying further:

16x² + 24x + 9 - 16x² + 25 - 24x = 34

Combine like terms:

(16x² - 16x²) + (24x - 24x) + (9 + 25) - 34 = 0

0 + 0 + 34 - 34 = 0

The equation simplifies to:

0 = 0

This equation is an identity, meaning that it holds true for all values of x. In other words, there are infinite solutions for x.