SSC CHSL 7 Jan 2017 Shift 1 Paper

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Question : 55 of 100

Marks: +1, -0

Which of the following equations has the sum of its roots as 5?

$x^2-5x+6=0$
$x^2-6x-5=0$
$x^2+5x+6=0$
$x^2+6x-5=0$

Solution:

Sum of roots in an equation :

ax^2+bx+c=0

is

-b/a

(A) :

x^2-5x+6=0

⇒ Sum of roots =

-{-5}/1=5

(B) :

x^2-6x-5=0

⇒ Sum of roots =

-{-6}/1=6

(C) :

x^2+5x+6=0

⇒ Sum of roots =

- {5}/1=-5

(D) :

x^2+6x-5=0

⇒ Sum of roots =

- {6}/1=-6

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