Question

(x-1)(x-7)=0 как решить

Answer 1

Х-1=0
х-7=0;
х=1,
х=7;
х1=1, х2=7

Answer 2

1 способ.

(x-1)(x-7)=0

х-1=0 ИЛИ х-7=0

Х=1 ИЛИ Х=7

Ответ: 1; 7

2 способ.

(x-1)(x-7)=0

х²-8х+7=0

D=b²-4ac=(-8)²-4*1*7=36

√36=6

х₁,₂=(-b+-√D)/2a=(8+-6)/2

х₁=(8+6)/2=14/2=7

х₂=(8-6)/2=2/2=1

Ответ: 1; 7

Answer 3

To solve the equation (x-1)(x-7) = 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 zero. Therefore, to find the solutions for x, you set each factor to zero and solve for x separately. Here's the step-by-step process:

Step 1: Set each factor to zero:

First factor: x - 1 = 0 Second factor: x - 7 = 0

Step 2: Solve for x in each equation:

For the first factor: x - 1 = 0 Add 1 to both sides to isolate x: x = 1

For the second factor: x - 7 = 0 Add 7 to both sides to isolate x: x = 7

Step 3: Find the solutions:

The solutions to the equation are x = 1 and x = 7 since these are the values of x that make the original equation (x-1)(x-7) equal to zero. When you substitute these values back into the equation, you get:

For x = 1: (1-1)(1-7) = 0 * (-6) = 0

For x = 7: (7-1)(7-7) = 6 * 0 = 0

Both results are zero, confirming that x = 1 and x = 7 are indeed the solutions to the equation.