Question

(3x-4)2-(x+5)×(5-x)=x×(x-24)

Answer 1

Ответ:

1,1

Объяснение:

(3x-4)2-(x+5)×(5-x)=x×(x-24)

6x-8-(5+x)(5-x)=x^2-24x

6x-8-(5^2-x^2) =x^2-24x

6x-8-25+x^2=x^2-24x

x^2+6x-x^2+24x=8+25

6x+24x=33

30x=33

x=1,1

Answer 2

To solve the equation (3x-4)^2 - (x+5)(5-x) = x(x-24), you'll want to simplify and then solve for x. Here are the steps to do that:

1. Expand the expressions: (3x-4)^2 expands to 9x^2 - 24x + 16 (x+5)(5-x) expands to 5x - x^2 + 25 - 5x

2. Rewrite the equation with the expanded expressions: 9x^2 - 24x + 16 - (5x - x^2 + 25 - 5x) = x(x-24)

3. Simplify the equation by combining like terms: 9x^2 - 24x + 16 - 5x + x^2 - 25 + 5x = x^2 - 24x

4. Continue simplifying: 9x^2 + x^2 - 24x - 24x - 25 = x^2 - 24x

5. Now, subtract x^2 from both sides of the equation to isolate the terms with x on one side: 9x^2 + x^2 - 24x - 24x - 25 - x^2 + 24x = 0

6. Simplify further: 9x^2 + x^2 - x^2 - 25 = 0

7. Combine like terms: 9x^2 - 25 = 0

8. Add 25 to both sides of the equation: 9x^2 = 25

9. Divide both sides by 9 to isolate x^2: x^2 = 25/9

10. Take the square root of both sides to solve for x: x = ±√(25/9)

11. Simplify the square root: x = ±(5/3)

So, the solutions to the equation are x = 5/3 and x = -5/3.