Question

Q.7. If (a + b + c) = 9 and ab + bc + ac =23, find the value of a^2+ b² + c².



please answer step by step​

Answer 1

Answer:

35

Step-by-step explanation:

a + b + c = 9-------(1)

ab + bc + ac =23-------(2)

using identity-(a+b+c)^{2} =a^{2}+ b^{2}+c^{2}+2ab+2bc+2ca-------(3)

putting values from (1) and (2) in (3)

(9)^{2} =a^{2}+ b^{2}+c^{2}+2(23)

81=a^{2}+ b^{2}+c^{2}+46

a^{2}+ b^{2}+c^{2}=81-46=35