Question

if one root of the equation ax2+bx+c=0 is reciprocal to the other then​

Answer 1

Answer:

$\red {If \: one \: root\: of \: the \: equation}$

$\red { ax^{2}+bx+c=0 } \:then \: \green {a=c}$

Step-by-step explanation:

$Given \: quadratic \: equation : ax^{2}+bx+c=0$

$Let \: m \: and \: \frac{1}{m} \: are \: roots \\of \: given \: equation$

$Product \: of \: roots = \frac{c}{a}$

$\implies m \times \left( \frac{1}{m}\right) = \frac{c}{a}$

$\implies 1 = \frac{c}{a}$

$\implies \green { a = c }$

Therefore.,

$\red {If \: one \: root\: of \: the \: equation}$

$\red { ax^{2}+bx+c=0 } \:then \: \green {a=c}$

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Answer 2

Answer: a= c will be the answer

Step-by-step explanation: