Question

A(x;3), B(1;-5) AB=10 найти х

Answer 1

Ответ:

АВ(1-x;-5-3)

AB(1-x;-8)

Answer 2

To find the value of x, we can use the distance formula between two points in a coordinate plane. The distance formula is given by:

AB = √[(x₂ - x₁)² + (y₂ - y₁)²]

Given the coordinates A(x, 3) and B(1, -5) and the distance AB = 10, we can substitute these values into the distance formula:

10 = √[(1 - x)² + (-5 - 3)²]

Simplifying the equation:

100 = (1 - x)² + (-8)² 100 = (1 - x)² + 64 100 = 1 - 2x + x² + 64 0 = x² - 2x - 35

Now, we have a quadratic equation. To solve for x, we can factorize the equation or use the quadratic formula:

x² - 2x - 35 = 0

Factoring the equation, we have:

(x - 7)(x + 5) = 0

Setting each factor equal to zero:

x - 7 = 0 or x + 5 = 0

Solving for x:

x = 7 or x = -5

Therefore, there are two possible values for x: x = 7 or x = -5.