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Home » Setting the discriminant equal to zero for exactly one real root, we have: - Network4

Setting the discriminant equal to zero for exactly one real root, we have: - Network4

📅 May 18, 2026 👤 scraface

May 18, 2026

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📝 Recent Posts

The difference between the squares of two numbers is 45, and their sum...
Given: \( x^2 - y^2 = 45 \) and \( x + y = 13 \).
Factor the first equation: \( (x-y)(x+y) = 45 \).
Substitute \( x+y = 13 \): \( (x-y)(13) = 45 \).
Thus, \( x-y = \frac{45}{13} \).
\( x + y = 13 \)
\( x - y = \frac{45}{13} \)
Add the equations: \( 2x = 13 + \frac{45}{13} = \frac{169 + 45}{13} =...
So, \( x = \frac{107}{13} \).
Substitute back to find \( y \): \( y = 13 - \frac{107}{13} = \frac{16...

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