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belka [17]
4 years ago
9

Product is -8 and sum is 2. What are the two numbers

Mathematics
1 answer:
anygoal [31]4 years ago
6 0

Step-by-step explanation:

Let the two numbers be x and y.

\therefore \: xy =  - 8...(1) \\  and \\ x + y = 2 \\  \\  \therefore \:x = 2 - y...(2)

From equations (1) & (2)

(2-y)y=-8\\\therefore \: 2y - y^2 = - 8\\\\\therefore \:y^2 - 2y-8=0\\\\\therefore \:y^2 - 4y+2y-8=0\\\\\therefore \:y(y - 4)+2(y-4)=0\\\\\therefore \:(y+2)(y - 4)=0\\\\\therefore \:(y+2)=0\:\: or\:\:(y - 4)=0\\\\\therefore \:y=-2\:\: or\:\:y =4\\\\    When \:\: y = - 2\implies x = 4\\\\When \:\: y = 4\implies x = - 2\\

Thus, the two numbers are (4, - 2) or (-2, 4).

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3 years ago
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Luis, que recibe $200 mensuales desde hace un año, el mes pasado le dijo a su papá que le aumentará su mesada; el monto deseado
AlekseyPX

Answer:

Luis quiere recibir 200$ de más por mes.

Step-by-step explanation:

Para podr calcular esto, necesitamos escribir la desigualdad dada, y para ello debemos transformar el lenguaje a lenguaje algebraico.

tres medios de la cantidad deseada:  3/2 x

mas 4100 (en este caso debería ser $100, y fue un error de tipeo): + 100

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Inecuación: 3/2 x + 100 ≥ 700

Ahora solo nos queda resolver el valor de x de esta inecuación. El resultado nos dirá cuanto quiere recibir al mes, por lo que la resta de esta cantidad con la cantidad que recibía antes nos dirá cuanto de más desea recibir:

3/2 x + 100 ≥ 700

3/2 x ≥ 700 - 100

3/2 x ≥ 600

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x ≥ 400

Por tanto, Luis desea recibir al mes $400, lo que se traduce en que quiere recibir de más

400 - 200 = 200

Luis desea recibir de mas $200.

Espero te ayude

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Four brothers share 3 pizzas equally.How much of a pizza does each brother get
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