Question

Comment on the nature of roots of the equation x(x – 3) - 11 = 0

Answer 1

Answer:

real and unequal

Step-by-step explanation:

x ( x - 3 ) - 11 = 0

x^2 - 3x - 11 = 0

a = 1

b = - 3

c = - 11

D = b^2 - 4ac

   = ( - 3 )^2 - 4 ( 1 ) ) ( - 11 )

   = 9 - ( - 44 )

   = 9 + 44

D = 53

D > 0

Therefore,

the nature of roots is real and unequal.

Answer 2

Step-by-step explanation:

${x}^{2} - 3x - 11 = 0 \\ \\( a = 1 \\ b = - 3 \\ c = - 11 \: ) \\ \\ d = {b}^{2} - 4ac \\ \\ =( { - 3)}^{2} - 4 \times 1 \times - 11 \\ \\ = 9 - 44 = - 35. \\ \\ d < 0 \\ therefore \: the \: roots \: are \: real \: but \: uneqal.$

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