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kvasek [131]
3 years ago
14

Solve the quadratic equation by completing the square.

Mathematics
1 answer:
Step2247 [10]3 years ago
6 0

Answer:

x1, x2 = 4.74 , -2.74

Step-by-step explanation:

To find the roots of a quadratic function we have to use the bhaskara formula

ax^2 + bx + c

x^2 - 2x - 13

a = 1     b = -2    c = -13

x1 = (-b + √ b^2 - 4ac)/2a

x2 =(-b - √ b^2 - 4ac)/2a

x1 = (2 + √ (2^2 - 4 * 1 * (-13)))/2 * 1

x1 = (2 + √ (4 + 52)) / 2

x1 = (2 + √ 56 ) / 2

x1 = (2 + 7.48) / 2

x1 = 9.48 / 2

x1 = 4.74

x2 = (2 - √ (2^2 - 4 * 1 * (-13)))/2 * 1

x2 = (2 - √ (4 + 52)) / 2

x2 = (2 - √ 56 ) / 2

x2 = (2 - 7.48) / 2

x2 = -5.48 / 2

x2 = -2.74

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Factoring trinomials 3x^3-24x^2+45x​
yarga [219]

Answer:

Option B: 3x(x - 3)(x - 5)

Step-by-step explanation:

The given polynomial is: 3x³ - 24x² + 45x

To factorize it: 3x³ - 24x² + 45x

Since, 3x is common through out we can take it out.

⇒               3x(x² - 8x + 15)

Now we have to factorize (x² - 8x + 15)

The roots of this quadratic equation is: 5, 3.

Therefore, x² - 8x + 15 = (x - 3)(x - 5)

Combining them, the factors of the polynomial would be:

(B)                                     3x(x - 3)(x - 5)

5 0
3 years ago
Can someone please explain to me how to work this out?
Ludmilka [50]

Answer:

B

Step-by-step explanation:

the way i work it out is if you take the product and power it to the third you can easily find out which answer is correct. another way, if you don't have a calculator is to look at the last digit in the number in the square root sign.

For example, 3 square root 64 equals 8. you would look at the 4 and try to find 3 numbers that end in 4 OR is divisible three times by the number. 64 is exactly divisible by 4 only 3 times so you know that it can't be 8.

hope this helps!

3 0
3 years ago
A company installs 5000 light bulbs, each with an average life of 500 hours, standard deviation of 100
gulaghasi [49]

Answer:

C. 97.1 should be your answer

Step-by-step explanation:

3 0
3 years ago
A clothing store orders 15 boxes of shirts to restock their shelves. There are 125 shirts in each box. How many shirts does the
KonstantinChe [14]

Answer:

15x125=1875 shirts

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Can someone help with this?
Bumek [7]
4.5/3 = x/5

then:

x = 5 * 4.5 / 3 = 15/2 = 7.5


hope that helps

6 0
3 years ago
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