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

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

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

TomLikesPhysics Group TitleBest ResponseYou've already chosen the best response.1
If you want to see the calculation look at the attached file.
 2 years 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)?
 2 years 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,
 2 years ago
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