sb140114 sb140114
  • 01-06-2022
  • Mathematics
contestada

If x^2+y^2=13 and xy=6 then find the value of x^4+y^4

Respuesta :

LammettHash
LammettHash LammettHash
  • 01-06-2022

Recall that (a + b)² = a² + 2ab + b².

Let a = x² and b = y². Then

(x² + y²)² = (x²)² + 2x²y² + (y²)²

⇒   x⁴ + y⁴ = (x² + y²)² - 2 (xy)²

Given that x² + y² = 13 and xy = 6, we have

x⁴ + y⁴ = 13² - 2×6² = 97

Answer Link

Otras preguntas

what is tenement building
Hi guys I need help rq with this thanks
Who was the power that Americans believed controlled their destiny?​
The rhythmic hiss of the farmers' scythes through the grain matched his strokes. Dust from the cut wheat filled the air. What does the word scythes refer to in
Helpl!!! Just need some GOOD details !
Gary receives a raise for Valentines Day! He now gets paid $17.25 per hour in addition to a weekly salary of $45. If he earned $976.50 this week, how many hours
Elevation can be described as elevation, relief, and landforms O True O False ??
Kelly was told she could only expect about 70% of her weekly salary on a disability check if she was ever disabled. The reason for this is to reduce _____. miss
Which planets are closer to the sun? Is it rocky planets or gas giants or planet hollywood
make sentence: ( make 5 different sentences of each word) 1. Drink 2. The bumblebee 3. Area 4. The chariot 5. Guest