Question

(0.2x +1)(2.5-x) =0​

Answer 1

Ответ:

-5; 2.5

Объяснение:

0.5x-0.2x^2+2.5-x=0

-0.2x^2-0.5x+2.5=0

0.2x^2+0.5x-2.5=0

x^2+2.5x-12.5=0

x1=-5, x2=2.5

Answer 2

To solve the equation (0.2x + 1)(2.5 - x) = 0, you can use the zero-product property, which states that if the product of two factors is equal to zero, then at least one of the factors must be equal to zero. In this case, you have:

(0.2x + 1)(2.5 - x) = 0

So, you set each factor equal to zero and solve for x separately:

1. 0.2x + 1 = 0

Subtract 1 from both sides:

0.2x = -1

Now, divide by 0.2 to solve for x:

x = -1 / 0.2

x = -5

2. 2.5 - x = 0

Subtract 2.5 from both sides:

-x = -2.5

Now, multiply both sides by -1 to solve for x:

x = 2.5

So, you have two possible solutions for x:

x = -5 or x = 2.5