Question

1
(4) Is the following a quadratic equation? Justify. x+ 1/x=-2
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Answer 1

Answer:

no it is not a quadratic equations because the formula is ax²+bx+c .

I hope it's helpful for you ✌️

Answer 2

Answer:

Given:-

$x + \frac{1}{x} = - 2$

Removing the LCM:-

${x}^{2} + 1 = - 2x$

$= {x}^{2} + 2x + 1 = 0$

Yes it's a quadratic equation as it can be written in the form of:-

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

Solution:-

${x}^{2} + 2x + 1 = 0$

Product=1

Sum=2

Numbers=1,1

Splitting the mid term:-

${x}^{2} + x + x + 1 = 0$

$= x(x + 1) + 1(x + 1) = 0$

= (x+1)(x+1)

Hence,

The roots of the given quadratic equation are:-

x= -1,-1(common root)