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Pani-rosa [81]
3 years ago
14

Solve (x-3)^2 =5 completing the square

Mathematics
2 answers:
Gre4nikov [31]3 years ago
7 0

Step-by-step explanation:

There are two ways to solve this equation for x

Either you develop (x-3)^2 and then solve the quadratic equation

Or you can solve it this way :

(X-3)^2= 5

x-3 = + or - root square 5

So x = 3+ or - root square 5

otez555 [7]3 years ago
3 0

Answer:

x = 3 ± √5

Step-by-step explanation:

The expression (x - 3)² = 5 doesn't need completing the square to solve (this is the step after you finish completing the square):

Step 1: Square root both sides

x - 3 = ±√5

Step 2: Add 3 to both sides

x = 3 ± √5 = 0.76392, 5.23607

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It is 245m thank me later
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3 years ago
The sum of two numbers is 18 the sum of greater numbers and twice the smaller numbers is 25 the numbers
Gnoma [55]

Answer:

  the numbers are 7 and 11

Step-by-step explanation:

If you add the smaller to the sum of numbers, you have the sum of the greater and twice the smaller. That is ...

  18 + smaller = 25

  smaller = 25 -18 = 7

  larger = 18 -7 = 11

The two numbers are 7 and 11.

_____

If you like, you can write two equations. Let x and y represent the smaller and larger numbers, respectively.

  x + y = 18

  2x + y = 25

Subtract the first equation from the second:

  (2x +y) -(x +y) = (25) -(18)

  x = 7

  y = 18-x = 18-7 = 11

The numbers are 7 and 11.

7 0
3 years ago
Two gongs strike at intervals of 24 and 40minutes respectively. At twist time will they strike together again if they start simu
solmaris [256]

Answer:

They will sound together at 2pm

Step-by-step explanation:

Now, the first thing we need to calculate is , in how many minutes will the two gongs strike together.

To be able to do this, we need to calculate the least common multiple of the two numbers 24 and 40

The lowest common multiple between both is 120

This means that the two gongs will sound together at exactly 120 minutes

Now since 1 hour is 60 minutes, this means that 120 minutes will be = 120/60 = 2 hours

Since they both sounded together at 12 noon and the next time they will be sounding is next two hours, their sounding time will thus be 12 noon + 2 hours = 2 pm

8 0
3 years ago
CAN SOMEONE HELP ME!!!!!!!!!!!!!!!
Crazy boy [7]

Answer: 150 min

Step-by-step explanation:

2 hours = 120 min, 120 + 30 min = 150 min

3 0
3 years ago
Read 2 more answers
A rectangular carpet has a perimeter of 244 inches. The length of the carpet is 90 inches more than the width. Determine the dim
RSB [31]

Answer:

The dimensions of rectangle are:

Width = 16 inches

Length = 106 inches

Step-by-step explanation:

Perimeter of rectangle = 244 inches

Let Width of rectangle = w

Length of rectangle = w+90

We need to find the dimensions (length and width) of the carpet

The formula used will be: Perimeter=2(length+width)

Putting values and making equation:

244=2w+2(w+90)\\Solving:\\244=2w+2w+180\\244=4w+180\\Switching\:sides\\4w+180=244\\Subtracting\:180\:from\:both\:sides\\4w=244-180\\4w=64\\Dividing\:both\:sides\:by\:4\\\frac{4w}{4} =\frac{64}{4}\\w=16

So, we get w = 16

The width w = 16 inches

Now, finding length = w+ 90 = 16+90 = 106 inches

Therefore the dimensions of rectangle are:

Width = 16 inches

Length = 106 inches

4 0
3 years ago
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