(400t-300)(400t-300)+(200t-100)(200t-100)=
(400t-300)^2+(200t-100)^2=
(400^2*^2-2*400t*300+300^2)+(200^2*t^2-2*200t*100+100^2)=
160.000t^2-240.000t+90.000+40.000t^2-40.000t+10.000=
200.000t^2-280.000t+100.000
(400t-300)(400t-300)+(200t-100)(200t-100)
complete the square showing all steps
2 answers
no worry found the solution to be 200000((t-7/10)^2+1/100)
first by multiplying out as above to get 200000t^2-280000t+100000
then taking out the factor of 200000 to get
200000(t^2-7/5t+1/2)
then using the formula
x^2+2px=(x+p)^2-p^2
to get
200000((t-7/10)^2-49/100+1/2)
simplifying gives
200000((t-7/10)^2+1/100)
thankyou for all the help from the people that toke the time to answer and if anyone has got the time could you please check my answer for me.
first by multiplying out as above to get 200000t^2-280000t+100000
then taking out the factor of 200000 to get
200000(t^2-7/5t+1/2)
then using the formula
x^2+2px=(x+p)^2-p^2
to get
200000((t-7/10)^2-49/100+1/2)
simplifying gives
200000((t-7/10)^2+1/100)
thankyou for all the help from the people that toke the time to answer and if anyone has got the time could you please check my answer for me.