Find-the-solution-set-x-2-4x-5-x-

Question Number 114071 by bobhans last updated on 17/Sep/20

F i n d t h e s o l u t i o n s e t

\sqrt{x^{2} - 4 x - 5} ⩾ x

Commented by prakash jain last updated on 17/Sep/20

Commented by bemath last updated on 17/Sep/20

h o w d o y o u m a d e t h i s g r a p h s i r

Commented by prakash jain last updated on 17/Sep/20

From this app only, i was just

checking

steps :

a . insert drawing

b . insert equation and pasted equation 1 .

c . from BUILD menu select plot

d . repeated procedure for other equation .

see Q 113542 .

Commented by bemath last updated on 17/Sep/20

t h a n k y o u s i r

Answered by bemath last updated on 17/Sep/20

(1) x^{2} - 4 x - 5 ⩾ 0

(x - 5) (x + 1) ⩾ 0

x ⩽ - 1 \cup x ⩾ 5

(2) c h e c k f o r x = - 1

\sqrt{{(- 1)}^{2} - 4 (- 1) - 5} = \sqrt{5 - 5} = 0 ⩾ - 1 (t r u e)

c h e c k f o r x = 5

\sqrt{25 - 20 - 5} = 0 ⩾ 5 (f a l s e)

t h e n s o l u t i o n i s x ⩽ - 1

Commented by bemath last updated on 17/Sep/20

Commented by bobhans last updated on 17/Sep/20

s a n t u y y

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