Question

solve to 2x square - 5 x + 3 is equal to zero by using formula​

Answer 1

Answer:

2x

2

−5x+3=0

⇒x

2

−

2

5

x+

2

3

=0 (Dividing throughough by 2)

⇒x

2

−

2

5

x=−

2

3

(Shifting the constant term on RHS)

⇒x

2

−2(

4

5

)x+(

4

5

)

2

=(

4

5

)

2

−

2

3

(Adding (

2

1

Coeff.ofx)

2

onboth sides)

⇒(x−

4

5

)

2

=

16

25

−

2

3

⇒(x−

4

5

)

2

=

16

1

⇒x−

4

5

=±

4

1

⇒x=

4

5

±

4

1

⇒x=

4

5

+

4

1

=

4

6

orx=

4

5

−

4

1

=

4

4

⇒x=

2

3

orx=1

Here the roots of the equation are

2

3

and 1