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Home » From Everyday Bird to Celebrity—Birdo’s Journey Will Amaze You! - go-checkin.com

From Everyday Bird to Celebrity—Birdo’s Journey Will Amaze You! - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 For the quadratic function \( f(x) = ax^2 + bx + c \) to have exactly one real root, its discriminant must be zero. The discriminant \(\Delta\) of a quadratic function \( ax^2 + bx + c \) is given by:

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

📌 b^2 - 4ac = 0

📌 Thus, the condition for \( f(x) \) to have exactly one real root is:

📌 This defines a relationship between \( a, b, \) and \( c \). For any choice of \( a

📌 eq 0 \), you can find corresponding \( b \) and \( c \) such that this equation holds. Therefore, the set of all values of \( a, b, \) and \( c \) satisfying this condition is:

📌 oxed{(a, b, c) ext{ such that } b^2 = 4ac ext{ and } a

🔥 Popular Posts

\boxed{\dfrac{5}{3}x^6 - 5x^4 + \dfrac{50}{3}x^2 - 18}.
$$Question: A particle physicist models the trajectory of a neutrino t...
Solution: To find the point on the line $ y = \frac{3}{4}x + 2 $ close...
D(x) = x^2 + \left( \frac{3}{4}x + 2 \right)^2
D(x) = x^2 + \frac{9}{16}x^2 + 3x + 4 = \frac{25}{16}x^2 + 3x + 4
D'(x) = \frac{50}{16}x + 3 = \frac{25}{8}x + 3 = 0 \Rightarrow x = -\f...
Substitute into the line equation to find $ y $:
y = \frac{3}{4} \cdot \left( -\frac{24}{25} \right) + 2 = -\frac{18}{2...
Thus, the closest point is $ \left( -\frac{24}{25}, \frac{32}{25} \rig...
\boxed{\left( -\frac{24}{25}, \frac{32}{25} \right)}

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