Math, asked by saksham5744, 1 year ago

if a+b+c=9 and ab+bc+ca=26 find=a²+b²+c²​

Answers

Answered by welcome101
9

Answer:

a {}^{2}  + b {}^{2}  + c {}^{2}  + 2(ab + bc + ac) = (a + b + c) {}^{2} \\  a {}^{2}  + b {}^{2}  + c {}^{2} = (a + b + c) {}^{2} - 2(ab + bc + ac) \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: = 9 {}^{2}  - 2 \times 26 \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 81 - 52 \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: = 29

Answered by babushall
10

Step-by-step explanation:

refer the attachment for your answer.....

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