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dan18

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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  1. RadEn
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    i think that's y=x^2 +C, right ?

    • one year ago
  2. RadEn
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    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
  3. heedcom
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    yes, thats what I was thinking, do they mean y=x^2 +C

    • one year ago
  4. RadEn
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    did u get it?

    • one year ago
  5. sauravshakya
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    y=2x+3...........i y=x^2+C........ii

    • one year ago
  6. sauravshakya
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    Now, substitute eqn i in eqn ii and tell me what u get

    • one year ago
  7. TomLikesPhysics
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    If you want to see the calculation look at the attached file.

    • one year ago
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  8. dan18
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    thank you very much guys for the help! can I ask why is the D=0 (D=discriminant)?

    • one year ago
  9. amorfide
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    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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