Question

check whether 1and 3/2are the roots of the equation 2x²-5x+3.​

Answer 1

Case (i)

2(1)^2 - 5(1) + 3
2 - 5 + 3
0

1 is the root of the polynomial


Case (ii)
2(3/2)^2 - 5(3/2) + 3
2(9/4) - 15/2 + 3
9/2 - 15/2 + 3
Lcm
9-15+6/3
0/3
0

3/2 is also a root of the polynomial

Answer 2

Answer:

1

• If we put 1 then

2 × 1²- 5 × 1 + 3= 2 - 5 + 3 = 0

So 1 is a root of given equation.

• If we put 2 then

2 × 2² - 5 × 2 + 3 = 2 × 4 - 10 + 3 = 1

So 2 is not a root of given equation.

• If we put 3 then

2 × 3²- 5×3+3 = 2×9 - 15 + 3 = 6

So 3 is not a root of given equation.