Question

Решите уравнения (x-5)(x-7)=0

Answer 1

(x-5)(x-7)=0
x-5=0
x1=5
x-7=0
x2=7

Answer 2

To solve the equation $(x-5)(x-7) = 0$, we need to find the values of $x$ that make the expression equal to zero. In other words, we need to find the roots of the equation.

Using the zero product property, we know that if the product of two factors is equal to zero, then at least one of the factors must be zero.

So, set each factor to zero and solve for $x$:

1. $x - 5 = 0$ Add 5 to both sides: $x = 5$

2. $x - 7 = 0$ Add 7 to both sides: $x = 7$

The solutions to the equation are $x = 5$ and $x = 7$. These are the values of $x$ that make the original expression equal to zero.