The roots of the equation [math]x^2+3x-10=0[/math] are [math]\alpha[/math] and [math]\beta[/math], where [math]\alpha<\beta[/math]. An equation whose roots are [math]\alpha-1[/math] and [math]\beta+2[/math] is?
Given that [math]\alpha,\beta[/math] are roots of the equation [math]3x^2-x-5=0,[/math] can you find the equation whose roots are [math]\frac{2\alpha-1}{\beta},\frac{2\alpha-1}{\alpha}[/math]?