Decide which of the following are quadratic equations?
i 9y2 + 5 = 0
ii. m3 – 5m2 + 4 = 0
iii. (l + 2)(l – 5) = 0
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i. In the equation 9y2 + 5 = 0, [y] is the only variable and maximum index of the variable is [2].
∴ It [is] a quadratic equation.
ii. In the equation m3 – 5m2 + 4 = 0, [m] is the only variable and maximum index of the variable is not 2.
∴ It [is not] a quadratic equation.
iii. (l + 2)(l – 5) = 0
∴ l(l – 5) + 2(l – 5) = 0
∴ l2 – 5l + 2l – 10 = 0
∴ l2 – 3l – 10 = 0.
In this equation [l] is the only variable and maximum index of the variable is [2]
∴ it [is] a quadratic equation.