if two roots of quadratic equation are 2 and 1then form quadratic equation
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If x=a and x=b are the given roots of quadratic equation then equation is formed by formula
(x-a)(x-b)=0
now plug the given roots 2 and 1 into above formula
(x-2)(x-1)=0
simplify
hence final answer is .
Anonymous:
constant term is not 1 it will be 2
Answered by
2
for this we adopt the formula
when both roots are positive
let one root be α and another be β
general form for it is
x²-(α+β)x+αβ
x²-(1+2)x+1*2
=x²-3x+2
or else....another way
x=2 and x=1
so x-2=0 and x-1=0
by zero product rule
(x-2)(x-1)=0
=>x²-3x+2=0
when both roots are positive
let one root be α and another be β
general form for it is
x²-(α+β)x+αβ
x²-(1+2)x+1*2
=x²-3x+2
or else....another way
x=2 and x=1
so x-2=0 and x-1=0
by zero product rule
(x-2)(x-1)=0
=>x²-3x+2=0
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