hitanpat hitanpat
  • 15-09-2019
  • Mathematics
contestada

If a+b+c=7 and ab+bc+ca=20 find the value of a^2+b^2+c^2

Respuesta :

jimrgrant1 jimrgrant1
  • 15-09-2019

Answer:

9

Step-by-step explanation:

Using the identity

(a + b + c)² = a² + b² + c² + 2(ab + bc + ca)

Subtract 2(ab + bc + ca) from both sides, then

a² + b² + c² = (a + b + c)² - 2(ab + bc + ca) = 7² - 2(20) = 49 - 40 = 9

Answer Link

Otras preguntas

During a car crash, why are airbags useful? 0.They decrease the amount of impulse applied to the you. 0.They increase the amount of impulse applied to you. 0.Th
Pls Help I don't wanna fail
I neeeedddd helllpppppp rightttt nowwwww How has Ellis Island helped shape the population of the United States?
True or False Heart acts as a pump for the transport of blood​
How do scientists hope to limit climate change?
I’m getting confused because I get 25 and In a app I get 5 so can someone help me
What does the word trials mean? OA. hearings OB judgments OC. samples OD. hardships
The trait for a straight thumb (H) is dominant over the trait for a hitchhiker's thumb (h). Two people with heterozygous/hybrid genotypes for straight thumbs go
Looking at the picture below, moving from right to left (GAC): What would be the matching base pair be on a strain of RNA CUG O CTG GA2
Micah buys 5 pounds of beef for $5.50. How much for 20 pounds?