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Grace [21]
2 years ago
10

Complete the square to transform the expression x2 6x 5 into the form a(x − h)2 k. (x 6)2 4 (x 6)2 − 4 (x 3)2 − 4 (x 3)2 4

Mathematics
1 answer:
HACTEHA [7]2 years ago
4 0

An equation is formed of two equal expressions. The equation x²+6x+5 into the form a(x − h)²+k is written as (x+3)²-4.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The transformation of the equation from x²+6x+5 into the form a(x − h)²+k can be done in the following steps as shown below,

1. Taking +5 on the right-hand side of the equation,

x^2+6x+5 = 0\\\\x^2+6x = -5

2. Now if we add +9 on both sides of the equation, we will get,

x^2+6x = -5\\\\x^2+6x+9 = -5+9

3. Now we look at the left side of the equation as the square of the binomial expression (x+3).

x^2+6x+9 = -5+9\\\\(x+3)^2 =4

4. Taking +4 from the right side of the equation to the left side of the equation,

(x+3)^2 =4\\\\(x+3)^2 -4=0

Thus, the equation is in the form of a(x − h)²+k, where the value of a is 1, h is -3 and the value of k is -4.

Hence, the equation x²+6x+5 into the form a(x − h)²+k is written as (x+3)²-4.

Learn more about Equation:

brainly.com/question/2263981

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1. La suma de dos números es 115. El número mayor es dos veces más 22 unidades que el otro. Hallar
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De acuerdo con un sistema de ecuaciones, tiene-se que los números son 31 y 84.

----------------

  • En el sistema de ecuaciones, tiene-se que los números son x e y.
  • Suma de 115, o sea, x + y = 115
  • <u>El número mayor es dos veces más 22 unidades que el otro</u>, o sea, x = 2y + 22

----------------

Primero se encuenta el número menor, <u>reemplazando la segunda ecuación en la primera:</u>

x + y = 115

2y + 22 + y = 115

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y = \frac{93}{3}

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----------------

El número mayor es dado en <u>función de el menor</u>, o sea:

x = 2y + 22 = 2(31) + 22 = 62 + 22 = 84

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