find the quadratic equation whose roots are reciprocals of the root of the equation 3x_20x+17=0
akofficial7900:
is it 3xsquare + 20x + 17?
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refer to the pic. hope it is corrwct
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Given equation...
3x^2 - 20x+17=0 ----------(1)
equation whose roots are reciprocals of the root of the given equation --(1)
so put 1/x in place of x in given equation-.-----(1)
3×1/x^2 -20/x +17 =0
3 -20x + 17x^2 =0
17x^2 -20x +3 =0. is the required equation......
3x^2 - 20x+17=0 ----------(1)
equation whose roots are reciprocals of the root of the given equation --(1)
so put 1/x in place of x in given equation-.-----(1)
3×1/x^2 -20/x +17 =0
3 -20x + 17x^2 =0
17x^2 -20x +3 =0. is the required equation......
i hope it will help u..
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