Find quadratic equation whose roots are 2 and 6
Answers
Answered by
10
2+6=8.
2*6=12
p(x)=x2 - (2+6)x - 2*6
=x2 - 8x + 12 = 0
2*6=12
p(x)=x2 - (2+6)x - 2*6
=x2 - 8x + 12 = 0
Answered by
5
Let the quadratic equation be ->ax²+bx+c
and the roots be α and β.
Sum of two roots =α+β=2=-b/a
product of two roots =αβ=6=c/a
Therefore the required quadratic equation is
->x²-2x+6
and the roots be α and β.
Sum of two roots =α+β=2=-b/a
product of two roots =αβ=6=c/a
Therefore the required quadratic equation is
->x²-2x+6
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