Question

If a+b+c=12 and ab+bc+ca = 32, find the value of a 2+b
2+c 2
.

Answer 1

Answer:

x(2x+5) = 3.

2x

2

+5x=3

⇒2x

2

+5x−3=0

2x

2

+6x−x−3=0

2x(x+3)−1(x+3)=0

(2x−1)(x+3)=0 ⇒ 2x-1 = 0 or x+3 = 0

x=

2

1

or x = -3.