Question

4(х-5)-5х²=5(1-х)(1+х)

Answer 1

Ответ:

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

4x-20-5x^2=5(1-x^2)

4x-20-5x^2=5-5x^2

4x-5x^2+5x^2=20+5

4x=25

x=25:4

x=6,25

Ответ:6,25

Пошаговое объяснение:

Answer 2

To solve the equation 4(x - 5) - 5x² = 5(1 - x)(1 + x), let's simplify both sides step by step.

First, distribute the terms on the right side: 4(x - 5) - 5x² = 5(1 - x)(1 + x) 4x - 20 - 5x² = 5(1 - x - x²)

Next, simplify the right side further: 4x - 20 - 5x² = 5 - 5x - 5x²

Now, let's gather like terms on the left side: 4x - 5x² - 20 = 5 - 5x - 5x²

Combine the x² terms: 4x - 5x² - 20 = 5 - 10x - 5x²

Move all terms to one side: 4x - 5x² + 5x² + 10x - 20 - 5 = 0

Simplify the equation: 4x + 10x - 25 = 0

Combine like terms: 14x - 25 = 0

Now, let's isolate x by moving the constant term to the other side: 14x = 25

Divide both sides by 14: x = 25/14

Therefore, the solution to the equation 4(x - 5) - 5x² = 5(1 - x)(1 + x) is x = 25/14.