Question

7.
The roots of the quadratic equation x2 + 4x + 5 = 0 are
(A) real
(B) real and distinct
(C) not real
(D)
real and equal
OR
even
"The product of two consecutive
The quadratic equation corresponding to the above statement, is
integers is 528."
(A) x (x + 2) = 528
ge² + 5x=0
(B) 2x (x + 4) = 528
(C) (1 + x) 2x = 528
(D) 2x (2x + 1) = 528
²t 5x-ixt ax
x 285 )+ ax=0​

Answer 1

$Compare \: given \: Quadratic \: equation$

$x^{2} + 4x + 5 = 0 \: with \: ax^{2}+bx+c=0 , we \:get$

$a = 1 , b = 4 \: and \: c = 5$

$Discreminant (D) = b^{2} - 4ac$

$= 4^{2} - 4 \times 1 \times 5$

$= 16 - 20$

$= -4$

$\green { \lt 0 }$

$\blue { \therefore Roots \:of\: the \: Quadratic \: equation }$

$\blue {not \: real }$

$Option \: \green { ( C ) } \: is \: correct .$

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Answer 2

Answer:

Find the nature of the roots of the quadratic equation x2 + 4x + 5 = 0 . (a) Real and equal (b) Real and distinct (c) No real roots (d) None of these