Question

Find 10 rational numbers between -3/4 and 5/6​

Answer 1

Answer:

-3/4 , 5/6

-3/4×3/3 , 5/6×2/2 (LCM=12)

-9/12 , 10/12

Therefore, 10 rational numbers between -3/4 and 5/6 are -8/12, -7/12, -6/12, -5/12, -4/12, -3/12, -2/12, -1/12, 0/12 and 1/12.

Answer 2

Answer:

If x = 2 and x = 3 are roots of the equation 3x^2 - 2kx + 2m =0 .Find the value of k and m?

$we \: know \: that \: is \: is \: possible \: to \: factor \: a \: polynomial \: using \: its \: roots. For \: a \: quadratic \: polynomial \: this \: means \: that \: we \: can \: write \: it \: as \: (x - r_{1})(x - r{2}).(x−r1)(x−r2). In \: this \: case \: we \: have \: the \: roots \: 2 \: and \: 3 \: meaning \: the \: polynomial \: can \: be \: written \: as:(x−2)(x−3)=x {}^{2} −3x−2x+6=x {}^{2} −5x+6$