Question

Check whether 1,3/2 are roots of equation 2x²-5x+3

Answer 1

Answer:

no they are not roots of equation

Step-by-step explanation:

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Answer 2

Answer:

1 and 3 / 2 are zeroes of ( 2 x² - 5 x + 3 ) .

Step-by-step explanation:

Given :

p ( x ) = 2 x² - 5 x + 3

We have to check whether 1 and 3 / 2 are roots of p ( x ) or not.

In order to be root remainder should be zero.

So equating with zero.

p ( 1 ) = 2 .1² - 5 .1 + 3 = 0

2- 5 + 3

= > 0

= > 1 is zero of p ( x ) .

Now p ( 3 / 2 ) = 2 . ( 3 / 2 )² - 5 . ( 3 / 2 ) + 3 = 0

9 / 2 - 15 / 2 + 3

= > ( 9 + 6 - 15 ) / 2

= > 0 / 2

= > 0

3 / 2 is also zero of p ( x ) .

Therefore ,  both 1 and 3 / 2 are zeroes of ( 2 x² - 5 x + 3 ) .