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How do i get x? i’m confused on what numbers go where

How do i get x? i’m confused on what numbers go where-example-1
User Pianoc
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1 Answer

2 votes

Answer:

x = 2√13

Explanation:

First, we can put out a lot of equations to see if we can make a system:

x² = y² + 4², x² + z² = 13², xz = 13y, y² + 9² = z²

Substitute 4 into 1: x² = (z² - 9²) + 4²

System 2 and substitution: x² + z² = 169, x² - z² = -65

Elimination: 2x² = 104

Divide: x² = 52

Square root: x = √52 = 2√13

User DimChtz
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