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podryga [215]
3 years ago
5

Find the solutions to the equation below. Check all that apply. 4x2 + 4x + 1 = 0

Mathematics
1 answer:
Verizon [17]3 years ago
4 0

Answer:

The solution for the given polynomial 4x^2 + 4x+ 1 = 0 is x  = (\frac{-1}{2})

Step-by-step explanation:

Here, the given quadratic equation is : 4x^2 + 4x+ 1 = 0

Now, here solving the given equation by SPLITTING THE MIDDLE TERM:

4x^2 + 4x+ 1 = 0  = 4x^2 + 2x+ 2x +  1 = 0\\\implies 2x( 2x + 1) + 1(2x + 1) = 0\\\implies (2x +1)(2x +1)  = 0\\

⇒ either (2x+1) = 0, or ( 2x + 1) = 0

⇒ x = -1/2 or x  = -1/2

Here, in both the cases, the value of x is equal i.e x  =  -1/2

So, the given function has TWO IDENTICAL ROOTS.

Hence the solution for the given polynomial 4x^2 + 4x+ 1 = 0 is x  = (\frac{-1}{2})

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Write the equation 5x - y + 6 = 0 in standard form with integer<br> coefficients.
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6 0
3 years ago
A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 6 inches.
olga_2 [115]
PART A:
x | 0  |  1  |  2 | 3  | 4   | 5  |  6  |  7  | 8  | 9 | 10 | 11 | 12 |
y | 6 | 5.5 | 5 | 4.5 | 4 | 3.5 | 3 | 2.5 | 2 | 1.5 | 1 | 0.5 | 0 |

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PART B:
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5 0
3 years ago
HELP
Sunny_sXe [5.5K]

You did not provide any question. I will give general advice.

Pythagorean Theorem: a² + b² = c²

If you know two sides, you know ll three sides.

A house sits in the shade.

The house is 18 feet tall. The shadow is 24 feet long. What is the hypotenuse of this triangle?

We know a and b here! a=18, b=24.

18 * 18 = 324.

24 * 24 = 576.
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The square root of 900 is what will be your answer:

18*18 + 24*24 = 30*30.

I hope this helps!

7 0
1 year ago
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