ATAR Notes: Forum

HSC Stuff => HSC Maths Stuff => HSC Subjects + Help => HSC Mathematics Advanced => Topic started by: 88siege on February 22, 2018, 06:45:21 pm

Title: Logarithms/Exponentials 2u question (answered)
Post by: 88siege on February 22, 2018, 06:45:21 pm
Im not sure if i'm overthinking for this question but i've been trying to solve simultaneously and idk where to go from there, do we just have to sub in x=-1 into both equations and prove they both give the same answer hence they intersect at x=-1?????

Show that the curves y=x^2 and y=e^(x+1) intersect at x=-1

Help is appreciated!!
Title: Re: Logarithms/Exponentials 2u question (help)
Post by: RuiAce on February 22, 2018, 06:55:04 pm
Yeah, at a time like that all you can do is sub in \(x=-1\) and verify you get the same \(y\) value both ways.

There is no way to solve \(x^2 = e^{x+1} \) using elementary methods
Title: Re: Logarithms/Exponentials 2u question (help)
Post by: 88siege on February 22, 2018, 06:55:59 pm
Oh okay Thanks!!!