find the condition that zeroes of polynomial p(x) =ax²+bx+c are reciprocal of each other.
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Answer:
Given quadratic polynomial is P(x)=ax
Given quadratic polynomial is P(x)=ax 2
Given quadratic polynomial is P(x)=ax 2 +bx+c
Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each other
Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α,
Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α
Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1
Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1
Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1
Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1 ⟹ Product of roots is α×
Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1 ⟹ Product of roots is α× α
Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1 ⟹ Product of roots is α× α1
Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1 ⟹ Product of roots is α× α1
Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1 ⟹ Product of roots is α× α1 =
Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1 ⟹ Product of roots is α× α1 = a
Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1 ⟹ Product of roots is α× α1 = ac
Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1 ⟹ Product of roots is α× α1 = ac
Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1 ⟹ Product of roots is α× α1 = ac
Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1 ⟹ Product of roots is α× α1 = ac ⟹
Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1 ⟹ Product of roots is α× α1 = ac ⟹ a
Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1 ⟹ Product of roots is α× α1 = ac ⟹ ac
Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1 ⟹ Product of roots is α× α1 = ac ⟹ ac
Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1 ⟹ Product of roots is α× α1 = ac ⟹ ac =1⟹c=a