Question

find the value of x: 2xsqaure + 5x +3=0​

Answer 1

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Class 10

>>Maths

>>Quadratic Equations

>>Solutions of Quadratic Equations

>>Solve the equation 2x^2 - 5x + 3 = 0 by

Question

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Solve the equation 2x

2

−5x+3=0 by the method of completing square.

Medium

Solution

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We have,

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