Question

x^2+5x-14=0 solve by completing the square

Answer 1

(5/2)^2

Answer 2

x^2 + 5x = 14
x^2 +5x +(5/2)^2 = 14 + (5/2)^2
(x + 5/2)^2 = 14 + 25/4
(x + 5/2)^2 = 81/4
taking root of both sides
x+5/2 = +/- root(81/4)
x = -5/2 +/- 9/2
x = -5+9 or -5-9
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2 2

x = 2 or -7

Answer 3

\[x^2+5x=14\]
\[(x+\frac{5}{2})^2=14+(\frac{5}{2})^2\]
\[(x+\frac{5}{2})^2=14+\frac{25}{4}\]
\[(x+\frac{5}{2})^2=\frac{81}{4}\]
\[x=\frac{5}{2}=\pm \sqrt{\frac{81}{4}}\]
\[x+\frac{5}{2}=\pm\frac{9}{2}\]
\[x+\frac{5}{2}=\frac{9}{2}\]
\[x=\frac{9}{2}-\frac{5}{2}=\frac{4}{2}=2\] or
\[x=-\frac{9}{2}-\frac{5}{2}=\frac{-14}{2}=-7\]

Answer 4

@satellite

How r u able to write your answer as above --- i.e with proper fractions etc ???????

Answer 5

i am writing using latex

Answer 6

if you come to chat i can show you how. i can't show you here because it will just show up as math

Answer 7

ok, how do i come to chat??? just click on the chat button???

Answer 8

yeah just click on chat

Answer 9

says "group chat"

Answer 10

will it b possible to hv private chat or not???

Answer 11

i am there if you want i can show you some basics

Answer 12

x^2 + 5x = 14
x^2 +5x +(5/2)^2 = 14 + (5/2)^2
(x + 5/2)^2 = 14 + 25/4
(x + 5/2)^2 = 81/4
taking root of both sides
x+5/2 = +/- root(81/4)
x = -5/2 +/- 9/2
x = -5+9 or -5-9
----- -----
2 2

x = 2 or -7