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Amiraneli [1.4K]
3 years ago
7

Using completing the square method in quadratic equation 5x²+ 11x + 2=0​

Mathematics
1 answer:
bezimeni [28]3 years ago
7 0

Answer:

x= 1/5 or -2

Step-by-step explanation:

5x² +11x +2= 0

(Divide through by the coefficient of x²)

5x²/5 + 11x/5 + 2/5 = 0/5

x² + 11x/5 + 2/5 = 0

(take the constant to the other side)

x² + 11x/5 = -2/5

(Add 1/2 of the coefficisint of x all square to both sides)

x² + x + (11/5 × 1/2)² = -2/5 + (11/5 × 1/2)²

x² + x + (11/10)² = -2/5 + (11/10)²

x² + x + (11/10)² = -2/5 + 121/100

(eliminate x )

x² + (11/10)² = (20(-2) + 121 ) ÷ 100

(x + 11/10 )² = (-40 + 121) ÷ 100

(x + 11/10 )² = 81/100

(square both sides)

x + 11/ 10 =√(81/100)

x + 11/10 = 9/10

x = -11/10 +or- 9/10

x = -11/10 + 9/10 or -11/10 - 9/10

x = (-11 + 9) ÷ 10 or (-11-9) ÷ 10

x = -2/ 10 or -20/10

x = -1/5 or -2

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olya-2409 [2.1K]

Hence, option A 0.64 is the correct answer.

Further explanation:

Ounce is a larger unit than grams. When we have to go from a smaller unit to a larger unit we use division.

So,

Given

28.3 grams = 1 ounce

Then

18\ grams=\frac{18}{28.3}=0.636=>0.64

Hence, option A 0.64 is the correct answer.

Keywords: Conversions, Units of measurement

Learn more about conversions at:

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3 years ago
If y=1/2*x+3, which ordered pair is one of the solutions for the equation and the coordinates for one of the points on
AleksAgata [21]

Step-by-step explanation:

D (-2,2)

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3 years ago
The Cooper family is driving 236.5 miles to visit their relatives. In the first three hours, they drive 69.4 miles in the first
Softa [21]

Answer:

29.7

Step-by-step explanation:

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5 0
3 years ago
Homework help!<br> Pls answer the question below<br> |<br> |<br> |<br> v
kykrilka [37]

Answer:

A.

Step-by-step explanation:

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4 0
3 years ago
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katen-ka-za [31]

Answer:

(-1/3, 3/4)

Step-by-step explanation:

9x + 8y = 3

6x - 12y = -11

Let's solve the system by eliminating x. We need the coefficients of x to be additive inverses, so they will add to zero eliminating x. The LCM of 9 and 6 is 18. Let's multiply both sides of the first by 2 and both sides of the second equation by -3.

18x + 16y = 6

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The coefficients of x are 18 and -18, which add to zero. Now we add these two equations.

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Now we substitute y with 3/4 in the first equation and solve for x.

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x = -3/9

x = -1/3

Solution: (-1/3, 3/4)

4 0
3 years ago
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