Question

2x^2-3x+7=0 .find the root by using completing the square

Answer 1

We can use the quadratic equation to solve this problem:

The quadratic formula states:

For

a

x

2

+

b

x

+

c

=

0

, the values of

x

which are the solutions to the equation are given by:

x

=

−

b

±

√

b

2

−

(

4

a

c

)

2

⋅

a

Substituting:

2

for

a

3

for

b

7

for

c

gives:

x

=

−

3

±

√

3

2

−

(

4

⋅

2

⋅

7

)

2

⋅

2

x

=

−

3

±

√

9

−

56

4

x

=

−

3

±

√

−

47

4