Question

(5x-3)(5x+3)+(2x-3)(2x+3)=2

Answer 1

Ответ:

Объяснение:

25x^2-9+4x^2-9=2

29x^2-18-2=0

29x^2-20=0

29x^2=20

x^2=+-20/29

x=+-2$\sqrt{5}$/29

Answer 2

Let's simplify the given expression step by step:

(5x - 3)(5x + 3) + (2x - 3)(2x + 3) = 2

First, let's apply the distributive property (FOIL method) to each set of parentheses:

(25x^2 - 9) + (4x^2 - 9) = 2

Now, combine like terms:

25x^2 + 4x^2 - 9 - 9 = 2

Combine the x^2 terms:

29x^2 - 18 = 2

Now, isolate the x^2 terms on one side of the equation:

29x^2 = 2 + 18

29x^2 = 20

Finally, solve for x^2 by dividing both sides of the equation by 29:

x^2 = 20 / 29

So, the simplified solution for the given equation is:

x^2 = 20 / 29