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4 years ago

Rewrite the equation by completing the square. x^2 + 2x – 48 = 0

Mathematics

1 answer:

slamgirl [31]4 years ago

3 0

Answer:

(x+1)^2 = 49

x = 6 x = -8

Step-by-step explanation:

x^2 + 2x – 48 = 0

Add 48 to each side

x^2 + 2x =48

Take the coefficient of x

Divide by 2

2/2=1

Square it

1^2 =1

x^2 + 2x +1=48+1

x^2 +2x+1 = 49

(x+1)^2 = 49

Take the square root of each side

sqrt((x+1)^2) =±sqrt( 49)

x+1 = ±7

Subtract 1 from each side

x+1-1 = -1 ±7

x = -1+7 x = -1 -7

x = 6 x = -8

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Answer:

Step-by-step explanation:

From the question, the values of x, y and z are as follows.

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3 years ago

If the perimeter is 112,the width is 6times to get the length.what is the length?and the width?solve for an area

Romashka [77]

Answer:

The length of rectangle is 8 unit

The width of rectangle is 48 unit

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Step-by-step explanation:

Given as :

The perimeter of rectangle = P = 112 unit

The width is 6 times the length

Let The length of rectangle = L unit

Let The width of rectangle = W unit

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Now, According to question

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Or, P = 2 × L + 2 × W

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Or, 112 = 2 × L + 12 × L

Or, 112 = 14 L

∴ L = $\dfrac{112}{14}$

i.e L = 8

So, The length of rectangle = L = 8 unit

Put the value of L into eq 1

∵ W = 6 × L

So, W = 6 × 8

i.e W = 48

So, The width of rectangle = W = 48 unit

Again

∵ The Area of rectangle = (Length × Width) unit²

Or, A = L× W

Or, A = 8 × 48

i.e A = 384 unit²

So, The Area of rectangle = A = 384 unit²

Hence , The length of rectangle is 8 unit

The width of rectangle is 48 unit

The Area of rectangle is 384 unit² Answer

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kirza4 [7]

REVISED

Answer:

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Step-by-step explanation:

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Answer:

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