explanation with proof
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Quadratic equation:
a x² + b x + c = 0
Product or roots = c / a
If the roots are reciprocals of each other, then the product = 1
So c/a = 1
a = c. This is the condition.
a x² + b x + c = 0
Product or roots = c / a
If the roots are reciprocals of each other, then the product = 1
So c/a = 1
a = c. This is the condition.
kvnmurty:
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★ QUADRATIC RESOLUTION ★
General quadratic equation :
ax² + bx + c = 0
Given for which roots of the equation are reciprocal to each other , then , their product will be equivalent to 1
Let A and B be the roots ,
HERE , B = 1/A
Hence , AB = c / a = 1
Therefore , a = c is the only acquired condition
★✩★✩★✩★✩★✩★✩★✩★✩★✩★✩★
General quadratic equation :
ax² + bx + c = 0
Given for which roots of the equation are reciprocal to each other , then , their product will be equivalent to 1
Let A and B be the roots ,
HERE , B = 1/A
Hence , AB = c / a = 1
Therefore , a = c is the only acquired condition
★✩★✩★✩★✩★✩★✩★✩★✩★✩★✩★
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