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tresset_1 [31]
3 years ago
13

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

Mathematics
1 answer:
likoan [24]3 years ago
7 0

Answer:

x = 2√13

Step-by-step explanation:

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

<em>x² = y² + 4²</em>, x² + z² = 13², xz = 13y, <em>y² + 9² = z²</em>

Substitute 4 into 1: <em>x² = (z² - 9²) + 4²</em>

System 2 and substitution: <em>x² + z² = 169, x² - z² = -65</em>

Elimination: 2x² = 104

Divide: x² = 52

Square root: x = √52 = 2√13

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