the difference of roots of equation px^2+qx+r=0 is
varad wagh , 13 Years ago
Grade 12
Algebra> the difference of roots of equation px^2+...
1 Answersrajat Bansal
Last Activity: 9 Years ago
suppose roots are A and B
So we know the sum of the roots is A +B =-q/p
and multiplication of roots is A*B= r/p
now
Difference between roots
- A−B
- A−B = ( (A−B)^2 )^1/2
- A−B = ( A^2 +B^2 −2*A*B)^1/2
- A−B = ( A^2 +B^2 +2*A*B −4*A*B)^1/2 ( ADD 2AB and minus 2AB_)
- A−B = ( ( A+B)^2 −4*A*B)^1/2
- A−B = ( (-q/p)^2 -4*r/p)^1/2
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