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Prove that graphs of y=x^2+2a n dy=3x-4 ...

Prove that graphs of `y=x^2+2a n dy=3x-4` never intersect.

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Graphs of `y = x^(3) + 2 and y = 3x + 4` intersect when `x^(2) + 2 = 3x - 4` or `x^(2) - 3x + 6 = 0` . But this equation has no real roots, hence graphs never intersect.
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Knowledge Check

  • Find the points of intersection of graphs of y=x^2 and y=3x-2.

    A
    (1,1) (1,4)
    B
    (2,4) (1,1)
    C
    (1,-1) (2,4)
    D
    (-2,4) (1,1)

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