Question

Решите уравнение0.5 (4+x) 0.4 (x-3)= 2.5ООООЧЕНЬ НУЖНО!!!

Answer 1

0.5 (4+x) 0.4 (x-3)= 2.5
0.20(4+х)(х-3)=2.5
(4+х)(х-3)=12.5
х²+х-12=12.5
х²+х-24.5=0
2х²+2х-49=0
D=4+49*4=200
√200=10√2
x1=(-2+10√2)/4=(-1+5√2)/2
x2=(-2-10√2)/4=(-1-5√2)/2

Answer 2

Solving the Equation

To solve the equation 0.5(4+x) + 0.4(x-3) = 2.5, we can follow these steps:

1. Distribute the terms inside the parentheses. 2. Combine like terms. 3. Solve for the variable.

Let's solve it step by step.

Step 1: Distribute the Terms

First, distribute the terms inside the parentheses:

0.5 * 4 + 0.5 * x + 0.4 * x - 0.4 * 3 = 2.5

This simplifies to:

2 + 0.5x + 0.4x - 1.2 = 2.5

Step 2: Combine Like Terms

Combine the like terms:

2 + 0.5x + 0.4x - 1.2 = 2.5 0.9x + 0.8 = 2.5

Step 3: Solve for the Variable

Now, solve for x:

0.9x + 0.8 = 2.5 0.9x = 2.5 - 0.8 0.9x = 1.7 x = 1.7 / 0.9 x ≈ 1.8889

So, x is approximately 1.8889.

Conclusion

The solution to the equation 0.5(4+x) + 0.4(x-3) = 2.5 is x ≈ 1.8889.