Question

find the root of the following quadratic equation by the method of completing square 2 x square - 7 x + 3 = 0 ​

Answer 1

Answer:

x=1/2,3

Step-by-step explanation:

2x²-7x+3=0

x²-7x/2+3/2=0

x²-2×7x/4 + (7/4)²-(7/4)²+3/2=0

(x-7/4)²=49/16 - 3/2

(x - 7/4)² = 25/16

x- 7/4=±5/4

x=1/2       or          x=3

Answer 2

Answer:

2x^2-7x+3=0

Using completing square method,

(x-7/2)^2-(7/2)^2+3/2=0

(x-7/2)^2= 49/4-3/2

=49-6/4

(x-7/2)^2=43/4

x-7/2=+-√43/4

x=√43/4+7/2=√57/4

Or

x=√43/4-7/2=√9=3

therefore,√57/4 and 3 are roots.