kulungmira2020 kulungmira2020

23-12-2020
Mathematics

contestada

The sum of any two number is 21and the sum of their squares is 261.find the numbers.

Relax

Respuesta :

gardnerdanj gardnerdanj

23-12-2020

Answer:

The two numbers are 6 and 15.

Step-by-step explanation:

[tex]x+y=21\\y=21-x\\x^{2} +y^{2} =261\\x^{2} +(21-x)^{2}=261\\x^{2} +441-42x+x^{2} =261\\2x^{2} -42x+180=0\\x^{2} -21x+90=0\\(x-6)(x-15)=0\\[/tex]

x=6 and x=15

Answer Link

Otras preguntas

What is another name for the first law of motion?

What would happen if the moon's revolution speed was twice as fast as it is now?

Which type of circumstance did President Theodore Roosevelt use to justify U.S. intervention in Latin America?

From each corner of a square of tin, 12 cm on a side, small squares of side x are removed and the edges are turned up to form an open box. Express the volume V

According to the speaker, what is his sweetheart's crime

What does consumers willingness to pay depend on?

How did louis xiv secure support from the nobility?

What is (9/14)with an exponent of -1?

Triangle jkl has side lengths of 16 16 and 21 A scalene B isosceles. C equilateral D scalar

Alicia did not select an available city pair flight, but opted for a flight offered under the other government airfare tab. in addition to a written justificati