Question

Verify that 1 and 3/2 are the roots of the equation 2x2 – 5x + 3 = 0.

Answer 1

Let P(x) = 2x² - 5x + 3

put x = 1 in P(x) ,

P(1 ) = 2(1)² - 5(1) + 3

= 2 - 5 + 3 = 0

P(1) = 0 , hence x = 1 is the solution/root of 2x² - 5x +3 = 0.


again, put x = 3/2

P(3/2) = 2(3/2)² - 5(3/2) + 3

= 2 × 9/4 - 15/2 + 3

= 9/2 - 15/2 + 6/2

= (9 + 6)/2 - 15/2

= 15/2 - 15/2 = 0

P(3/2) = 0, hence x = 3/2 is the root/solution of 2x² - 5x + 3 = 0

Answer 2

When solving this quadratic equation  by factorization method,  we get  1 and 3/2 as roots.    Hence roots are verified..............         See the attachment for detailed solution.