For what values of k does the line y kx-4
WebJun 23, 2024 · Possible values of k. The general quadratic equation is: Subtract and . Factorize: Rewrite as: Compare the above equation to: For the equation to have two distinct solution, the following must be true: So, we have: Expand. Rewrite as: Expand. Factorize. Factor out k + 6. Split: or . So: or k . To make the above inequality true, we set: or . So ... WebThe line y=kx+4, where k is a constant, is graphed in the xy -plane. If the line contains the point (c,d), where c =0 and d =0, what is the slope of the line in terms of c and d? A cd−4 …
For what values of k does the line y kx-4
Did you know?
WebMar 9, 2024 · So if we expand out the above quadratic we get. so 16 k 2 = 48, or k = ± 3. Here's another approach to take using the geometrical properties of a circle. We seek the … WebAug 25, 2024 · Find the values of k for which the line y=1-2kx does not meet the curve y=9x²-(3k+1)x+5 See answers Advertisement Advertisement ... 0 = 9x^2 - kx - x + 4. This is a quadratic equation with coefficients a = 9, b = -(k+1) and c = 4. For certain k, not yet known, solutions exist. Solutions here implies points at which the two curves intersect.
WebAnswer (1 of 2): Set the y values equal to get 2x - 1 = x² + kx + 3 x² + (k - 2)x + 4 = 0. We will get two distinct real solutions if the discriminant is greater than 0. The inequality is (k - 2)² - 4(1)(4) > 0 (k - 2)² > 16 k - 2 > 4 k - 2 > 4 or k - 2 < -4 k > 6 or k < -2 WebJan 24, 2024 · Find the set of values of k for which the line y = kx —4 intersects the curve y = x^2 — 2X at two distinct points. SUMMER 2009/P1/Q2 Show more.
WebMay 17, 2016 · Find the set of values for k for which the line y=2x−k meets the curve y=x2+kx−2 at two distinct points. I only know you have to use a discriminant. Follow • 2 WebThe line \(y=kx\) intersects the parabola \(y=(x-1)^2\) when the equation \[(x-1)^2 = kx\] has real solutions. Rearranging this equation gives \[x^2 - (k+2)x + 1 =0,\] which has discriminant \((k+2)^2-4\). For the quadratic to …
WebMay 31, 2024 · 1) find the values of k which the line y=kx-3 intersects the curve y=x2-9x at two distinct points. i dont know how to do these. and help me do this one too. 2) find the …
Webthe line could intersect the parabola at exactly one point (the blue line in the diagram). Now think algebraically. To determine where the parabola y = x^2 - 2 x and the line y = k x - 4 … emojis togetherWeb1 Answer. Sorted by: 4. k x + 1 = x 2 − 3 x + 5 0 = x 2 − 3 x − k x + 5 − 1 x 2 − ( 3 + k) x + 4 = 0 x = ( 3 + k) ± ( 3 + k) 2 − 16 2 For No Intersection, ( 3 + k) 2 − 16 < 0 ( 3 + k) 2 < 16 − 4 < ( 3 + k) < 4 − 7 < k < 1. Share. Cite. Follow. drakes click and collectWebFind the set of values of k for which the line y = 2x - k meets the curve y = X^2 + kx —2 at two distinct points. WINTER 2014/ PAPER 11/ QUESTION 5 drake s clothing lineWebSep 13, 2024 · Find the set of values of k for which the line y = 2x −k meets the curve y = x2 +kx − 2 at two distinct points. Precalculus 1 Answer Jim G. Sep 13, 2024 k < 2 or k > … emojis to put on pls donate signWebMay 17, 2016 · x 2 + kx - 2 = = 2x - k. has two distinct solutions. x 2 + (k-2)x - (2 - k) = 0. Two distinct solutions is the same as having a positive discriminant. b 2 - 4ac > 0. (k - 2) … emojis to put in fortnite nameWebMay 17, 2016 · Find the set of values for $k$ for which the line $y=2x-k$ meets the curve $y=x^2+kx-2$ at two distinct points. I have started my equation like this: drakes clovercrest modburyWebNov 17, 2015 · 1 Answer. The problem asks for the smallest k for which the line y = k x + k − 1 lies above the graph of y = ln x . In other words, we would like to find the smallest real number k satisfying. for all real numbers x . This amounts to maximizing g ( x) = 1 + ln x x + 1. The resulting maximum value then is W ( 1) where W is the Lambert W function. emojis to swear in roblox