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dan18
Group Title
what is C so that y=2x+3 is tangent to the curve y+x^2 +C?
 one year ago
 one year ago
dan18 Group Title
what is C so that y=2x+3 is tangent to the curve y+x^2 +C?
 one year ago
 one year ago

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RadEn Group TitleBest ResponseYou've already chosen the best response.2
i think that's y=x^2 +C, right ?
 one year ago

RadEn Group TitleBest ResponseYou've already chosen the best response.2
if yes, first take y1=y2, we get a quadratic equation and then to find value of c, take D=0 (D=discriminant) solve for c?
 one year ago

heedcom Group TitleBest ResponseYou've already chosen the best response.0
yes, thats what I was thinking, do they mean y=x^2 +C
 one year ago

RadEn Group TitleBest ResponseYou've already chosen the best response.2
did u get it?
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
y=2x+3...........i y=x^2+C........ii
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
Now, substitute eqn i in eqn ii and tell me what u get
 one year ago

TomLikesPhysics Group TitleBest ResponseYou've already chosen the best response.1
If you want to see the calculation look at the attached file.
 one year ago

dan18 Group TitleBest ResponseYou've already chosen the best response.0
thank you very much guys for the help! can I ask why is the D=0 (D=discriminant)?
 one year ago

amorfide Group TitleBest ResponseYou've already chosen the best response.0
descriminant is 0 because it is a tangent to the curve, when the descriminant is 0 it has a repeated root, so it just touches the curve, if it were to be greater than 0 it would have two roots which means it would no longer be a tangent, if it were less than 0 it would have two complex roots, not being a tangent,
 one year ago
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