5. Is the equation (12x+13) * + x2 = 3×2 – 5x quadratic ? Justify.​

5. Is the equation (12x+13) * + x2 = 3×2 – 5x quadratic ? Justify.​

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1 thought on “5. Is the equation (12x+13) * + x2 = 3×2 – 5x quadratic ? Justify.​”

  1. Answer:

    No it is not a quadratic equation

    Step-by-step explanation:

    Given,

    [tex](12x + 13) \times {x}^{2} = 3 {x}^{2} – 5x \\ 12 {x}^{3} + 13 {x}^{2} = 3 {x}^{2} – 5x \\ 12 {x}^{3} + 13 {x}^{2} – 3 {x}^{2} + 5x = 0 \\ 12 {x}^{3} + 10 {x}^{2} + 5x = 0[/tex]

    We get the equation 12x³+10x²+5x=0

    Comparing with ax²+by+c=0,

    we have 12x³ which makes the whole equation a cubic equation, hence proved.

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