Question

Full credit: filtrationses method Nill credit: other responses or missing​

Answer 1

Answer:

x = +5

Explanation:

Let the points be

A (-8, x)

B (2, 0)

Applying distance formula,

AB = √[(x₂ - x₁)² + (y₂ - y₁)²]

Here:

x₁ = -8

x₂ = 2

y₁ = x

y₂ = 0

Substitute these values in the above formula

⇒ AB = √[(2 - (-8))² + (0 - x)²]

⇒ AB = √[(2 + 8)² + (-x)²]

⇒ AB = √[(10)² + x²]

⇒ AB = √(100 + x²)

⇒ 5√5 = √(100 + x²)

Squaring on both sides,

(5√5)² = 100 + x²

⇒ 125 = 100 + x²

⇒ 125 - 100 = x²

⇒ x² = 25

⇒ x = √25

∴ x = ±5