Given that alpha and beta are roots of the equation 3x ^ 2-5 = 0 form the equation whose roots are 2alpha-1 / beta , 2alpha - / alpha ?
The roots of the equation -LSB- math -RSB- x ^ 2 +3 x-10 = 0 -LSB- / math -RSB- are -LSB- math -RSB- \ alpha -LSB- / math -RSB- and -LSB- math -RSB- \ beta -LSB- / math -RSB- , where -LSB- math -RSB- \ alpha < \ beta -LSB- / math -RSB- . What equation are -LSB- math -RSB- \ alpha-1 -LSB- / math -RSB- and -LSB- math -RSB- \ beta +2 -LSB- / math -RSB- the roots of ?