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Home » Thus, the value of $x$ that satisfies the equation is: - High Altitude Science

Thus, the value of $x$ that satisfies the equation is: - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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We are to find \( x^2 - y^2 \), which factors as:
x^2 - y^2 = (x - y)(x + y)
We already know \( x - y = 4 \), so we need \( x + y \).
x + y = \pm 10
Now compute \( x^2 - y^2 = (x - y)(x + y) \):
If \( x + y = 10 \), then \( x^2 - y^2 = 4 \cdot 10 = 40 \)
If \( x + y = -10 \), then \( x^2 - y^2 = 4 \cdot (-10) = -40 \)
But from \( x - y = 4 \) and \( x^2 + y^2 = 58 \), suppose \( x + y =...
Then solving \( x - y = 4 \), \( x + y = 10 \), add: \( 2x = 14 \Right...
Check: \( x^2 + y^2 = 49 + 9 = 58 \) â

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