Question

Find the quadratic equation whose sum and product of zeroes are -2root3 and -9

Answer 1

Hey there !!!!!

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If α,β are zeroes of quadratic equation p(x)


Then p(x) can be represented as

   x²-(α+β)x+αβ

According to question :

α+β = -2√3    αβ=-9

p(x)= x²-(-2√3)x-9

p(x)= x²+2√3x-9

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Hope this helped you..............