Question

Decide which of the following are quadratic equation. 1. m²-(1/m)=16 2. (x+2)(x-7)=0​

Answer 1

QUESTION:

Decide which of the following are quadratic equation. 1. m²-(1/m)=16 2. (x+2)(x-7)=0

ANSWER:

1.

${m}^{2} - \frac{1}{m} = 16 \\ (taking \: lcm) \\ \frac{ {m}^{3} - 1 }{m} = 16 \\ {m}^{3} - 1 = 16m \\ {m}^{3} - 16m - 1 = 0$

2.

$(x + 2)(x - 7) = 0 \\ (multiplying) \\ {x}^{2} - 7x + 2x - 14 = 0 \\ {x}^{2} - 5x - 14 = 0$

as we know that ;

quadratic equation is in the form of

$a {x}^{2} + bx + c = 0$

hence,

$(x + 2)(x - 7) = 0$

is a quadratic equation.

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