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

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

Solve for x in the equation X^2-16^x=0

Can someone please help

Identify the zeros of f(x)= (x-7)(x+4)(3x-2) Choices:

A car travels 133 mi averaging a certain speed. If the car had gone 30 mph faster, the trip would have taken 1 hr less. Find the car's average speed.

10 Points Which of the following statements is TRUE: A. Plants are single celled, animals are multicellular, both are eukaryotes B. Plants and animals are eukar

What is a3 if an=64(12)n−1

There are 100 people in a wedding house, including children, men and women, and there are 100 pappadas to give with Sadya Te. 5 pappadam for males 3

Which student evaluated the power correctly? Anna's Work 99 = 9x9x9x9x9 - 59.049 O Hailey's Work 99 = 9x5 = 45 O Cameron's Work 9% = 9+9+9+9+9 =45 Jerry's Work

Write these as normal numbers

Question Select the correct answer. Which of the following conditions would likely lead to the slowest rate of weathering? a dry, temperate region with few hill