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Enter the values for a and b that complete the sum 3/x + 5/x^2 = ax + b/x^2

Sagot :

Answer: a=3, b=5

Step-by-step explanation: The given equation is

3/x + 5x^2 = ax+b/x^2

We simplify the left hand side.

We collect LCD or (Least Common Denominator) to obtain: 3x+5/x^2 = ax+b/x^2

Both sides of the equation are now the same.

By comparing the coefficients of x, we have

a = 3

By comparing the constant terms

b = 5

Now for the second part I don't want to make this too long so here are the answers below:

Answer: m = 3

               n = 14

               p = 2

(Below is For Spanish Speakers )

En español:

Respuesta: a = 3, b = 5

Explicación paso a paso: la ecuación dada es

3 / x + 5x ^ 2 = ax + b / x ^ 2

Simplificamos el lado izquierdo.

Recopilamos LCD o (mínimo común denominador) para obtener: 3x + 5 / x ^ 2 = ax + b / x ^ 2

Ambos lados de la ecuación ahora son iguales.

Al comparar los coeficientes de x, tenemos

a = 3

Comparando los términos constantes

b = 5

Ahora, para la segunda parte, no quiero hacer esto demasiado largo, así que aquí están las respuestas a continuación:

Respuesta: m = 3

n = 14

p = 2