Question 1128504


1.
{{{4m^2+10m-5=0}}}

{{{4(m^2+(10/4)m)-5=0}}}

{{{4(m^2+(5/2)m+b^2)-4b^2-5=0}}}

{{{4(m^2+(5/2)m+b^2)-4b^2-5=0}}}

{{{a=1}}}, {{{2ab=5/2}}}=>{{{2*1*b=5/2}}}=>{{{b=5/4}}}

{{{4(m^2+(5/2)m+(5/4)^2)-4(5/4)^2-5=0}}}

{{{4(m+5/4)^2-4(25/16)-5=0}}}

{{{4(m+5/4)^2-25/4-5=0}}}

{{{4(m+5/4)^2-25/4-20/4=0}}}

{{{4(m+5/4)^2-45/4=0}}}

{{{4(m+5/4)^2=45/4}}}

{{{16(m+5/4)^2=45}}}

{{{(16/45)(m+5/4)^2=1}}}



2.

{{{(y+3) (y-5) =2y-2}}}

{{{ y^2-5y+3y-15 =2y-2}}}

{{{ y^2-5y+3y-15 -2y+2=0}}}

{{{ y^2-4y-13 =0}}}

{{{ (y^2-4y+b^2)-b^2-13 =0}}}

{{{ (y^2-4y+2^2)-2^2-13 =0}}}

{{{ (y-2)^2-4-13 =0}}}

{{{ (y-2)^2 =17}}}

{{{ (1/17)(y-2)^2 =1}}}



3.


{{{4m^2=(m+4) (2-m)}}}

{{{4m^2=2m-m^2+8-4m}}}

{{{4m^2=-m^2-2m+8}}}

{{{4m^2+m^2+2m=8}}}

{{{5m^2+2m=8}}}

{{{5(m^2+(2/5)m)=8}}}

{{{5(m^2+(2/5)m+b^2)-5b^2=8}}}............{{{2ab=2/5}}}=>{{{2b=2/5}}}=>{{{b=1/5}}}

{{{5(m^2+(2/5)m+(1/5)^2)-5(1/5)^2=8}}}

{{{5(m+1/5)^2-5(1/25)=8}}}

{{{5(m+1/5)^2-1/5=8}}}

{{{25(m+1/5)^2-1=40}}}

{{{25(m+1/5)^2=40+1}}}

{{{(25/41)(m+1/5)^2=1}}}