Check whether 1,3/2 are roots of equation 2x²-5x+3
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Answer:
no they are not roots of equation
Step-by-step explanation:
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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 ) .
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