Question

The solution of the equation 5 + 2- 9 = 0 is : ​

Answer 1

Step-by-step explanation:

4x

2

−20x+9=0

⇒4x

2

−20x+25−25+9=0

⇒(2x)

2

−(2×2x×5)+5

2

+(−25+9)=0

⇒(2x−5)

2

−16=0(∵(a−b)

2

=a

2

+b

2

−2ab)

⇒(2x−5)

2

=16

⇒2x−5=±

16

⇒2x−5=±4

⇒2x−5=−4,2x−5=4

⇒2x=−4+5,2x=4+5

⇒2x=1,2x=9

⇒x=

2

1

,x=

2

9

Hence, x=

2

1

or x=

2

9

.