leo120206 leo120206
  • 26-05-2020
  • Mathematics
contestada

If a+b+c=0 then find the value of a^2+b^2+c^2/a^2-bc pls help me

Respuesta :

stormiarmy
stormiarmy stormiarmy
  • 26-05-2020

a+b+c=0

[(a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc]

[a^2+b^2+c^2+2ab+2ac+2bc=0]

[a^2+b^2+c^2=-(2ab+2ac+2bc)]

[a^2+b^2+c^2=-2(ab+ac+bc)] (i)

also

[a=-b-c]

[a^2=-ab-ac] (ii)

[-c=a+b]

[-bc=ab+b^2] (iii)

adding (ii) and (iii) ,we have

[a^2-bc=b^2-ac] (iv)

devide (i) by (iv)

[(a^2+b^2+c^2)/(a^2-bc)=(-2(ab+bc+ca))/(b^2-ac)]
Answer Link

Otras preguntas

translate the sentence twice is 5 in to an equation
Which set of ordered pairs does not represent a function? a.(0, 1), (2, 2), (4, 8), (-2, 7), (5, 8) b.(0, 1), (2, 2), (4, 8), (2, 7), (5, 8), (7, 9) eliminate c
The design and arrangement of workspace items for efficiency and safety is called
While sexual orientation refers to the direction of one's sexual interests, ______________ refers to the gender that a person believes he or she is psychologica
What actions did Seminole Indians take in curtailing the effects of the Indian Removal Act?
How is the reader mostly affected by the use of the first person point of view
Our school's girls volleyball team has 14 players, including a set of 3 triplets: Missy, Lauren, and Liz. In how many ways can we choose 6 starters if the only
Which action would more likely take place in a modern family rather than in a traditional family? A. A student decides to attend a college because it is close t
which of the following numbers below has the largest value
Which of the following is NOT an example of a structural element in Uncle Tom's Cabin?