(This equation is equivalent to the one before it, because
for all
.
If this equation has two distinct real roots, what could be said about the graphs of
Spoiler (rollover to view): Consider the intersections of the graphs.
Sketch the graph y=(x+1)^4/x^4+1. Use this graph to find the set of values of the real number k for which the equation (x+1)^4=k(x^4+1) has two real distinct roots.
I sketched the graph, but I don't understand what I should do after.
Thanks for your assistance.
Preliminary 2017: //English Standard//Maths Extension 1//Physics//Chemistry//Design & Technology//IDTVET//
HSC 2018: //English Standard//Maths Extension 1//Maths Extension 2//Physics//Chemistry//
ATAR Aim: 95+
(This equation is equivalent to the one before it, because
for all
.
If this equation has two distinct real roots, what could be said about the graphs of
Spoiler (rollover to view): Consider the intersections of the graphs.
HSC 2018: English Adv. [80] • Maths Ext. 1 [98] • Maths Ext. 2 [95] • Chemistry [87] • Software Design [95]
ATAR: 97.40 | Uni Course: Advanced Mathematics (Hons) / Engineering (Hons) at UNSW
Find the values for y=k intersects the graphtwo times (you can do this visually)
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