Question

Найдите корни уравнения (9.6+1,5) * (4х-5,6)=0 используя свойство произведния

Answer 1

(9,6 + 1,5)*(4х - 5,6) = 0
11,1*(4х - 5,6) = 0
4х - 5,6 = 0
4х = 5,6
х = 1,4

Ответ: 1,4

Answer 2

Solving the Equation Using the Product Property

To find the roots of the equation \(9.6 \times 1.5 \times (4x - 5.6) = 0\) using the product property, we can set each factor equal to zero and solve for \(x\).

First, we can apply the product property, which states that if the product of two or more factors is equal to zero, then at least one of the factors must be zero.

Applying the Product Property

So, we have:

1. \(9.6 \times 1.5 = 14.4\) 2. \(4x - 5.6 = 0\)

Now, we can solve for \(x\).

Solving for x

1. \(9.6 \times 1.5 = 14.4\) 2. \(4x - 5.6 = 0\)

By applying the product property, we can see that the equation can be broken down into two parts:

1. \(14.4 = 0\) 2. \(4x - 5.6 = 0\)

However, it's important to note that \(14.4\) is not equal to \(0\). Therefore, the first part does not provide a solution.

Now, let's solve the second part for \(x\):

\[4x - 5.6 = 0\]

Adding \(5.6\) to both sides:

\[4x = 5.6\]

Dividing both sides by \(4\):

\[x = 1.4\]

Conclusion

The solution to the equation \(9.6 \times 1.5 \times (4x - 5.6) = 0\) using the product property is x = 1.4.