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svetlana [45]
3 years ago
5

Can someone solve this please

Mathematics
1 answer:
Radda [10]3 years ago
5 0
She is incorrect because x^2 can still be factored.
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What is the intermediate step in the form (x+a)2 = b as a result of completing the square for the following
skelet666 [1.2K]

For this case we have the following expression:

x ^ 2-4x + 10 = 4x + 10

We follow the steps below:

We subtract 4x on both sides of the equation:

x ^ 2-4x + 10-4x = 4x + 10-4x\\x ^ 2-8x + 10 = 10

We subtract 10 from both sides of the equation:

x ^ 2-8x + 10-10 = 10-10\\x ^ 2-8x = 0

Now, we must complete squares.

When we have an equation of the form:

ax ^ 2 + bx + c = 0, if we want to complete squares we must subtract c on both sides of the equation obtaining:

ax ^ 2 + bx + c-c = -c\\ax ^ 2 + bx = -c

The square is completed by adding to both sides of the equation: (\frac{b}{2})^{2}

So, we have left:

ax^2+bx + (\frac {b} {2})^{2} = - c + (\frac {b} {2}) ^ {2}

In the given expression we have:

a = 1\\b = -8\\c = 0

And to complete the square we have:

(\frac {b} {2}) ^ {2} = (\frac {-8} {2}) ^ {2} = 16

Rewriting we have:

x ^ 2-8x + 16 = 16

We factor the left side of the equation, that is, we look for two numbers that when added together result in -8 and when multiplied as a result 16. We have:

-4-4 = -8\\-4 * -4 = 16

So, we have:

(x-4) (x-4) = 16\\(x-4) ^ 2 = 16

Answer:

The intermediate step is to complete squares

(x-4) ^ 2 = 16


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3 years ago
I need the anwers to both question A and B
OlgaM077 [116]
DO NOT GO TO THAT LINK IT IS A VIRUS
6 0
3 years ago
Can you give me a dividing problem that has a quotient of 3 and a remainder of 28
Umnica [9.8K]
Sure 32.144 devided by 9.8
5 0
3 years ago
Factor the expression. 9b2 – 25
rewona [7]

Answer: (3b + 5)(3b - 5)

Because both terms, 9b² and 25, are perfect squares, you can factor by taking the square roots of both terms.

The square root of 9b² is 3b (3b × 3b = 9b²).

The square root of 25 is 5 (5 × 5 = 25).

9b² - 25 has a negative, so the factored expression would be

(3b + 5)(3b - 5). The signs (+ and -) alternate in this case because the  expression, 9b² - 25, has no middle term.

You can check your work by using FOIL. See the attachment below.

F irst

O utside

I nside

L ast

5 0
3 years ago
Read 2 more answers
The scale of a map is 2 cm : 21 km. find the actual distance for 9 cm on the map.
DIA [1.3K]
I hope this helps you

if 2 cm 21 km

9cm ? km

?×2=9×21

?=189÷2

?=94,5 km
8 0
3 years ago
Read 2 more answers
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