if the quadratic equation$\displaystyle 2x^2-qx+r=0 $have the roots $\displaystyle (\alpha+1),(\beta+2) $find out the value of q,r in terms of b,c.$\displaystyle x^2-bx+c=0 $the quadratic equation have the real roots $\displaystyle \alpha,\beta $ and also $\displaystyle \ \alpha\geq\beta$if $\displaystyle \ \alpha=\beta$prove $\displaystyle q^2=4(2r+1) $