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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
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