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

Find the value of h and k.

What is the sale price of a $825 tablet that has a 1/4 discount

can some one answer this questions please

Complete the equation for the line shown in the graph. (-1,-2) (0,1) (1,4)

3. Complete the sentence by choosing the verb that agrees with the subject. The council______ a new law about riding bikes on sidewalks. A. are passing B. has p

Help pls asap!!! Make sure to answer all of them!

How to multiply decimal numbers.

The length of a rectangle is three times its width. if the area of the rectangle is 75 in2, find its perimeter.

Which animal has a digestive system most similar to a human? 1. cow b. jellyfish c. octopus d. wolf

(links will be reported)4. Why wasn't V-E Day the huge celebration in the U.S. that it was in Europe? The Americans were still fighting the war against Japan. T