Question number 15!
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Hi ,
It is given that ,
Quadratic equation x² - bx + c = 0 and
roots of the equation are consecutive
Integers .
Let m , n are two consecutive Integers .
where , n > m
n - m = 1 ----( 1 )
m + n = - b ---( 2 ) [ sum of the roots ]
mn = c ----( 3 ) [ product of the roots ]
( n - m )² = 1² [ from ( 1 ) ]
( n + m )² - 4mn = 1
[ ( n - m )² = ( n + m )² - 4mn ]
( - b )² - 4c = 1
b² - 4c = 1
option ( d ) is correct.
I hope this helps you.
: )
It is given that ,
Quadratic equation x² - bx + c = 0 and
roots of the equation are consecutive
Integers .
Let m , n are two consecutive Integers .
where , n > m
n - m = 1 ----( 1 )
m + n = - b ---( 2 ) [ sum of the roots ]
mn = c ----( 3 ) [ product of the roots ]
( n - m )² = 1² [ from ( 1 ) ]
( n + m )² - 4mn = 1
[ ( n - m )² = ( n + m )² - 4mn ]
( - b )² - 4c = 1
b² - 4c = 1
option ( d ) is correct.
I hope this helps you.
: )
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