Question

What term is needed to add to each side to complete the square?

x2x^+5x=7

Answer 1

@ganeshie8

Answer 2

i divided it by 2 all the coefficents

Answer 3

sorry theres no x in the front

Answer 4

just 2x^2

Answer 5

\(\large 2x^2+5x = 7\)

Answer 6

like this ?

Answer 7

yes

Answer 8

yes, after dividing, just take half of the x coefficient,
and square it

Answer 9

\(\large x^2+\frac{5}{2}x = \frac{7}{2}\)

Answer 10

whats half of \(\large \frac{5}{2}\) ?

Answer 11

2.5

Answer 12

half of \(\large \frac{5}{2}\) is \(\large \frac{5}{2}/2 = \frac{5}{4}\)

Answer 13

square it and add both sides

Answer 14

oh lol

Answer 15

but squaring it gives a decimal

Answer 16

:)

\(\large x^2+\frac{5}{2}x + \left(\frac{5}{4}\right)^2 = \frac{7}{2} + \left(\frac{5}{4}\right)^2\)

Answer 17

left hand side can be written as a perfect square : a^2 + 2ab + b^2 = (a+b)^2

Answer 18

and, \(\large \left(\frac{5}{4}\right)^2 \) is the term we needed to add both sides in order to do that

Answer 19

see if that looks okay...

Answer 20

ok

Answer 21

what then?

Answer 22

we're done

Answer 23

simplify

Answer 24

\(\large \left(\frac{5}{4}\right)^2\)


\(\large \frac{25}{16} \) is the term to be added both sides,

Answer 25

oh wait a sec, u need to multiply 2 both sides cuz u have only 7 on rihgt hand side initially

Answer 26

so the term to be added is :

\(\large \frac{25}{8} \) is the term to be added both sides

Answer 27

u have options for this ?

Answer 28

ok how about 2x^2-32x=56 i solved it and got x^-16=28

Answer 29

\(\large 2x^2 -32x = 56\)

divide by 2 both sides :
\(\large x^2 -16x = 28\)

Answer 30

take half of "x" coefficient, and add its square both sides

Answer 31

half of 16 is 8,
so add 8^2 both sides

Answer 32

\(\large 2x^2 -32x = 56\)

divide by 2 both sides :
\(\large x^2 -16x = 28\)

add 8^2 both sides :
\(\large x^2 -16x +8^2= 28 + 8^2\)

Answer 33

ok is that my final equation?

Answer 34

so 64

Answer 35

yes, left side can be written as perfect square. so we're done

Answer 36

yes, its either 64 or 128

Answer 37

depends on whatever options you're given

Answer 38

cuz, earliear u have divided 2 both sides right ?

Answer 39

so to account for that u need to multiply 2 both sides again

Answer 40

so, answer can be either 64 or 128

Answer 41

whatever exists in ur options, tick that

Answer 42

ok....