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fgiga [73]
3 years ago
10

Which of the following correctly completes the square for the equation below?

Mathematics
2 answers:
antoniya [11.8K]3 years ago
5 0

Answer:

c. (x+1)^2=20

Step-by-step explanation:

Since, for getting a perfect square on the left side of a quadratic equation we follow the following steps,

Step 1 : Make 1 as the coefficient of x^2.

Step 2 : Add both side the square of a number which is half of the x's coefficient.

Given equation,

x^2+2x=19 -----(1)

Here, the coefficient of x^2 is already one.

And, the middle term is 2,

Half of 2 is 1

Also, 1² = 1

Thus, add 1 on both sides of equation (1),

x^2+2x+1 = 19 + 1

(x+1)^2 = 20    ( Because (a+b)² = a² + 2ab + b² )

⇒ Option C is  correct.

erastova [34]3 years ago
3 0
The answer is :

c. (x+1)²=20

To check:
(x+1)²=20                          (a+b)²=a²+2ab+b²
x²+2x+1=20
x²+2x=20-1
x²+2x=19
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The maximum possible length, in centimeters, of the longest piece of rope is 134 cm

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g = 4x+14=4(30)+14=134

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