WebExample 2: Find the values of k such that the equation p/ (x + r) + q/ (x – r) = k/2x has two equal roots. Solution: The given quadratic equation can be rewritten as: [2p + 2q – k]x 2 – 2r [p – q]x + r 2 k = 0 For equal roots, … WebUse the Quadratic Formula: x = −2 ± √ (−16) 10 √ (−16) = 4 i (where i is the imaginary number √−1) So: x = −2 ± 4i 10 Answer: x = −0.2 ± 0.4 i The graph does not cross the x-axis. That is why we ended up with complex numbers. In a way it is easier: we don't need more calculation, we leave it as −0.2 ± 0.4i. Example: Solve x 2 − 4x + 6.25 = 0
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WebThe range of any quadratic function with vertex (h, k) and the equation f (x) = a (x - h) 2 + k is: y ≥ k (or) [k, ∞) when a > 0 (as the parabola opens up when a > 0). y ≤ k (or) (-∞, k] when a < 0 (as the parabola opens down when a < 0). Graphing Quadratic Function WebMay 3, 2012 · We can find value of k by putting discriminant of quadratic equation equal to 0. If, it is given that a particular quadratic equation has equal roots then it … cleveland oh fireworks 2022
functions - Find k for which the equation has equal roots ...
WebThe range of a quadratic function written in standard form f (x) = a (x − h) 2 + k f (x) = a (x − h) 2 + k with a positive a a value is f (x) ≥ k; f (x) ≥ k; the range of a quadratic function … WebMar 22, 2024 · Find values of k for which the quadratic equation has equal roots - kx Chapter 4 Class 10 Quadratic Equations Serial order wise Ex 4.4 Ex 4.4, 2 (ii) - … WebJul 6, 2024 · How to find the value of k in a quadratic equation when given: a) equal roots, b) two distinct roots, c) no real roots, and d) two real roots. Simple step-by... cleveland oh fire stations