Write the Quadratic equation, whose roots are 2+√3 and 2-√3
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Answer:
x^2 -root 3x - root3
Step-by-step explanation:
alpha+beta=-b/a
i.e 2+root3=-b/a so b=2+root3 and a=1
now
alpha ×beta =c/a=2-root3 so c =2-root 3 and a=1
quadratic polynomial =ax^2 +bx+c
putting values of a ,b,c
we have x^2-2+root3x+2-root 3. (-2+2=0)
hence polynomial =x^2-root3-root 3
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