Question

Solve the equation 2x² - 5 x + 3= 0 by the method of completing square​

Answer 1

Answer:

2x² -5x +3 = 0

x² -5/2x +3/2 = 0

x² -5/2x = -3/2

x² -5/2x +(5/4)² = (5/4)² -3/2

(x-5/4)² = 25/16 -3/2

(x-5/4)² = (25-24)/16

(x-5/4)² = 1/16

x-5/4 = plus minus 1/4

so

x = 5/4 + 1/4. and x = 5/4 - 1/4

x = 6/4. x = 4/4

x = 3/2. x = 1

Answer 2

Answer:

x=1/2 or x=1

Step-by-step explanation:

2x^2-5x+3=o

here we will first multiply 3*2=6

then we will find what which two nos should be multiplied to get 6 and added to get -5.

Here is -3+-2=-5

Therefore,

2x^2-2x-3x+3=0

2x(x-1)-3(x-1)=0

(2x-1)(x-1) =0

2x-1=0 or x-1=0

2x=1 or x=1

x=(1/2) or x=1