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

One gallon of paint covers 14 square feet of wall space. Andrew is painting two walls. One is 10 feet long and 9 feet tall. The other is 16 feet long and 18 fee

How do consumers benefit from perfect competition ?

The solution to the given system of linear equations lies in which quadrant?

In certain conditions, the equilibrium concentrations for components in the reaction 2NOCl(g) 2NO(g) + Cl2(g) are [NO] = 0.02 M, [Cl2] = 0.01 M, and [NOCl] = 0.

Which of the following is NOT a required element of the MLA style of Internet citation? A. The date of accessing the information B. The owner or operator of t

Sexual reproduction among members of a population results in

Data that consistently increases or decreases in response to changes in a variable display a data trend. True or False

What is the sum of the first eight terms of the series? (−800)+(−200)+(−50)+(−12.5)+... Round the answer to two decimal places.

draw a line with a slope of 1/4 through the point (0, -4)

How should patients with respiratory distress be managed?