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ananya1570:
x^2-4x-12=0
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Answered by
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general form of quadratic equation is: [x^2-(a+b)+ab]
a+b= 2+6=8
ab=2×-6= -12
so the required eqn is ; x^2 -8x-12
{ pls consider a and b as the roots given }
tnx
a+b= 2+6=8
ab=2×-6= -12
so the required eqn is ; x^2 -8x-12
{ pls consider a and b as the roots given }
tnx
Answered by
0
as zeroes are given as 2 and -6
sum of zeroes=2+(-6)=-4
product of zeroes=2*-6=-12
to get a quadratic polynomial
x^2-(sum of zeroes)x+(product of zeroes)=0
here;
x^2+4x-12=0
Verification
sum of zeroes= -b/a
-4=-4
product of zeroes=c/a
2*-6=-12/1
-12=-12
hence verified.
sum of zeroes=2+(-6)=-4
product of zeroes=2*-6=-12
to get a quadratic polynomial
x^2-(sum of zeroes)x+(product of zeroes)=0
here;
x^2+4x-12=0
Verification
sum of zeroes= -b/a
-4=-4
product of zeroes=c/a
2*-6=-12/1
-12=-12
hence verified.
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