Question

(x-1.5)(1.5+x)+(6-x)(6+x)=33.75

Answer 1

x²-2,25+36-x²=33,75

-2,25+36=33,75

Answer 2

Let's solve the given equation:

(x - 1.5)(1.5 + x) + (6 - x)(6 + x) = 33.75

First, let's simplify each term:

(x - 1.5)(1.5 + x) = (x^2 - 1.5x + 1.5x - 2.25) = (x^2 - 2.25)

(6 - x)(6 + x) = (6^2 - x^2) = (36 - x^2)

Now, the equation becomes:

(x^2 - 2.25) + (36 - x^2) = 33.75

Combine like terms:

x^2 - 2.25 + 36 - x^2 = 33.75

Now, the x^2 terms cancel each other out:

36 - 2.25 = 33.75

33.75 = 33.75

The equation is an identity, which means it holds true for any value of x. Therefore, the solution to the equation is all real numbers.