Question

Find the roots of the quadratic equation 2x2 – 7x + 3 = 0 using completing the square  method.​

Answer 1

Answer:

2x

2

−7x+3=0

⇒2(x

2

−

2

7

x)+3=0

⇒2(x

2

−2×

4

7

x+

16

49

)=

8

49

−3=

8

25

(x−

4

7

)

2

=

16

25

⇒x−

4

7

=±

4

5

⇒x=

4

7

±

4

5

=3 or ±

2

1

Answer 2

Question:-

Find the roots of the quadratic equation 2x2 – 7x + 3 = 0 using completing the square  method.

Solution:-

${2x}^2-{7x+3=0}$

$=>$ ${2(x^2-\frac{7}{2}x)}+3=0$

$=>$ ${2(x^2-2×\frac{7}{4}x+\frac{49}{16})}=\frac{49}{8}-3=\frac{25}{8}$

${(x-\frac{7}{4})}^2=\frac{25}{16}=>{x-\frac{7}{2}}=+\frac{5}{4}$

$=>$ x=$\frac{7}{4}$+$\frac{5}{4}=3 or\frac{1}{2}$