find a quadratic polynomial whose sum of zeroes is -3/2 root 5 and whose product of zeroes is -1/2. Also, find the zeroes
Answers
Answered by
7
given,
sum of zeroes( a + b ) = - 3 / 2√5
and product of zeroes (ab) = - 1 / 2
let "X" be the variable of that polynomial,
so now ,the required quadratic polynomial will
be
X^2 - ( a + b ) X + ( ab ) = 0
X^2 - ( - 3 / 2√5 ) + ( -1 / 2)=0
X^2 + 3 / 2√5 X - 1 / 2 = 0
(X - 1 /√5) ( X + 5 / 2√5 )= 0
X = 1/ √5 , - 5 / 2√5.
are the zeroes .
★hope it helps ★
sum of zeroes( a + b ) = - 3 / 2√5
and product of zeroes (ab) = - 1 / 2
let "X" be the variable of that polynomial,
so now ,the required quadratic polynomial will
be
X^2 - ( a + b ) X + ( ab ) = 0
X^2 - ( - 3 / 2√5 ) + ( -1 / 2)=0
X^2 + 3 / 2√5 X - 1 / 2 = 0
(X - 1 /√5) ( X + 5 / 2√5 )= 0
X = 1/ √5 , - 5 / 2√5.
are the zeroes .
★hope it helps ★
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Answered by
1
Answer:
by using formal x square+(sum of zero) x +(products of zero)
u can solve the answer,
by the wave,
answer is ,
x= 1√5 and x = -5/2√5 .
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