Question

the equation whose roots are reciprocal of the roots of the equation 3x^2 - 20 X + 17 =0 is?

Answer 1

$3x { }^{2} - 3x - 17x + 17 = 0$
$3x(x - 1) - 17(x - 1) = 0$
$(3x - 17)(x - 1) = 0$
$x = 17 \div 3$
$x = 1$

Answer 2

3x^2-20x+17=0
or (3x-17)(x-1)=0
so, roots are 17/3 and 1

reciprocal of these roots = 3/17 and 1

so , equation= > (17x-3)(x-1)=0
or 17x^2-17x-3x+3=0
or 17x^2-20x+3=0 answer