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Home » Thus, the sum is \( \boxed0 \). - Red Crowns

Thus, the sum is \( \boxed0 \). - Red Crowns

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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#### 68
Find the value of \( x \) if \( 2x^2 - 5x - 3 = 0 \).
Using the quadratic formula \( x = rac{-b \pm \sqrt{b^2 - 4ac}}{2a} \...
First, calculate the discriminant:
\[ b^2 - 4ac = (-5)^2 - 4 imes 2 imes (-3) = 25 + 24 = 49 \]
Then find the roots:
\[ x = rac{-(-5) \pm \sqrt{49}}{2 imes 2} = rac{5 \pm 7}{4} \]
The solutions are:
\[ x = rac{5 + 7}{4} = 3 \quad ext{and} \quad x = rac{5 - 7}{4} = -...
Thus, the values of \( x \) are 3 and \(-rac{1}{2}\).

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