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Readme [11.4K]
4 years ago
11

Start with x2 + 4x = 12 and complete the square, what is the equivalent equation? A) (x + 2)2 = 16 B) (x + 2)2 = 14 C) (x + 4)2

= 16 D) (x + 4)2 = 28
Mathematics
1 answer:
alexira [117]4 years ago
8 0

Answer: The answer is A

Step-by-step explanation: Add the coefficient of x to the both sides.

X²+4x=12

X²+4x+4=12+4

X²+4x+4=16

X²+2x+2x+4=16

X(x+2)+2(x+2)=16

(X+2)(x+2)=16

(X+2)²=16

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Consider the equation: 3(–4n – 9) = 21
hram777 [196]

Answer: N=-4

Step-by-step explanation:

STEP

1

:

STEP

2

:

Pulling out like terms

2.1     Pull out like factors :

  -4n - 9  =   -1 • (4n + 9)

Equation at the end of step

2

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 -3 • (4n + 9) -  21  = 0

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  -12n - 48  =   -12 • (n + 4)

Equation at the end of step

4

:

 -12 • (n + 4)  = 0

STEP

5

:

Equations which are never true:

5.1      Solve :    -12   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

5.2      Solve  :    n+4 = 0

Subtract  4  from both sides of the equation :

                     n = -4

One solution was found :

n = -4

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