Question

. (a) If a + b + c = 6 and ab + bc + ca = 11, find a²+b²+c²​

Answer 1

Answer:

If a + b + c = 6 and ab + bc + ca = 11, find a²+b²+c²

Step-by-step explanation:

We have (a+b+c) 2=a 2+b 2+c +2(ab+bc+ca)

⇒a 2+b 2+c 2=(a+b+c) 2−

2(ab+bc+ca)

⇒a 2+b 2 +c 2 =(6) 2−2(11)

⇒a 2+b 2+c 2=36−22=14

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Answer 2

Answer:

If a + b + c = 6 and ab + bc + ca = 11, find a²+b²+c²

Step-by-step explanation:

We have (a+b+c) 2=a 2+b 2+c +2(ab+bc+ca)

⇒a 2+b 2+c 2=(a+b+c) 2−

2(ab+bc+ca)

⇒a 2+b 2 +c 2 =(6) 2−2(11)

⇒a 2+b 2+c 2=36−22=14

Please Mark Me As Brilliant