Answer: Answer Given 3x 2 −5x+2=0 Here, the coefficient of x 2 is 3 and it is not a perfect square. ∴ Multiply the equation throughout by 3. ⇒(3x 2 −5x+2=0)×3∴9x 2 −15x+6=0 Now, half of the coefficient of x is 2 5 .∴b= 2 5 and b 2 =( 2 5 ) 2 So, 9x 2 −15x+( 2 5 ) 2 −( 2 5 ) 2 +6=0,(3x) 2 −15x+( 2 5 ) 2 =( 2 5 ) 2 −6 (3x− 2 5 ) 2 = 4 25 −6= 4 1 (Taking square root on both the sides) ∴3x− 2 5 =± 2 1 ∴3x− 2 5 =± 2 1 or 3x− 2 5 =− 2 1 3x= 2 1 + 2 5 3x= 2 5 − 2 1 3x= 2 6 =3 3x= 2 4 =2 ∴x=1 x= 3 2 Reply
Step-by-step explanation:
4/2 is a coefficient in this equation.
Answer:
Answer
Given 3x
2
−5x+2=0
Here, the coefficient of x
2
is 3 and it is not a perfect square.
∴ Multiply the equation throughout by 3.
⇒(3x
2
−5x+2=0)×3∴9x
2
−15x+6=0
Now, half of the coefficient of x is
2
5
.∴b=
2
5
and b
2
=(
2
5
)
2
So, 9x
2
−15x+(
2
5
)
2
−(
2
5
)
2
+6=0,(3x)
2
−15x+(
2
5
)
2
=(
2
5
)
2
−6
(3x−
2
5
)
2
=
4
25
−6=
4
1
(Taking square root on both the sides)
∴3x−
2
5
=±
2
1
∴3x−
2
5
=±
2
1
or 3x−
2
5
=−
2
1
3x=
2
1
+
2
5
3x=
2
5
−
2
1
3x=
2
6
=3 3x=
2
4
=2
∴x=1 x=
3
2