Math, asked by Sevyasahasra, 11 months ago

If a+b+c=9 and a^2+b^2+c^2=35 Then the value of ab+bc+ca=​

Answers

Answered by NimitDas
0

Step-by-step explanation:

Which of tire following are not ionic compounds

Answered by sandhyarenju2468
0

Answer:

23

Step-by-step explanation:

a + b + c = 9 \\  {a }^{2} +  {b}^{2} +  {c}^{2}  = 35 \\  {(a + b + c)}^{2} =  {a}^{2} +  {b}^{2} +  {c}^{2} + 2ab +2bc + 2ca \\  {(9)}^{2}  = 35 + 2ab + 2bc + 2ca \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  (a + b + c = 9) \\  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  ({a}^{2} +  {b}^{2} +  {c}^{2} = 35) \\ 81 = 35 + 2(ab + bc + ca) \\ 81 - 35 = 2(ab + bc + ca) \\ 46 = 2(ab + bc + ca) \\ \: ab + bc + ca = 46 \div 3 \\ ab + bc + ca = 23

Similar questions