Question

Verify whether 1 and 3/2are the roots of the equation 2x² - 5x + 3 = 0.​

Answer 1

Answer:

yes

Step-by-step explanation:

D=b^2-4*a*c

= 25-4*2*3

=1

X=(-b+-√d)/2a

= -(-5) +- √1 /2*2

= 5+1/4 , 5-1/4

= 6/4, 4/4

= 3/2 ,1. ans

Answer 2

SOLUTION:

$2 {x}^{2} - 5x + 3 = 0 \\ 2 {x}^{2} - 3x - 2x + 3 = 0 \\ x(2x - 3) - 1(2x - 3) = 0 \\ (x - 1)(2x - 3) = 0 \\ here \: (x - 1) = 0 \\ and \: (2x - 3) = 0 \\ solving \: both \\ x - 1 = 0 \\ x = 1 \\ and \: similarily \\ 2x - 3 = 0 \\ 2x = 3 \\ x = \frac{3}{2} \\ hence \: proved$