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zvonat [6]
3 years ago
6

Solve the quadratic equation by completing the square. ATTACHED BELOW!!!!!!NEED HELP FAST!!!!!!!!!!!!!

Mathematics
2 answers:
arsen [322]3 years ago
4 0

Answer:

See below in bold.

Step-by-step explanation:

x^2 -10x + 20 = 0

x^2 - 10x = -20

Completing the square:

(x - 5)^2 - 5^2 = -20

(x - 5)^2 =  25 - 20

(x - 5)^2 = 5.

Solving the equation:

Taking square roots:

x - 5 = +/-√5

x = 5 + √5,    5 - √5.

To the nearest hundredth that is

7.24, 2.76.

Andrew [12]3 years ago
4 0

Answer:

x ≈ 2.76, x ≈ 7.24

Step-by-step explanation:

Given

x² - 10x + 20 = 0 ( subtract 20 from both sides )

x² - 10x = - 20

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2( - 5)x + 25 = - 20 + 25

(x - 5)² = 5 ( take the square root of both sides )

x - 5 = ± \sqrt{5} ( add 5 to both sides )

x = 5 ± \sqrt{5}

Hence

x = 5 - \sqrt{5} ≈ 2.76

x = 5 + \sqrt{5} ≈ 7.24

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The body of a great roadrunner is 16 in. Long and the tail is 8 in. Long. The total length of a great roadrunner is 4 times long
arlik [135]

Answer: Love bird is 4 inches long.

Step-by-step explanation:

Given: The body of a great roadrunner is 16 in. Long and the tail is 8 in.

Also, Total length of a great roadrunner is = 4 x (length of lovebird).

It implies, length of lovebird =\dfrac{\text{length of lovebird}}{4}

=\dfrac{16}{4}=4\text{ inches}

Hence, Love bird is 4 inches long.

8 0
3 years ago
diana charges $10 for a house call plus $35 an hour for electric work.If she made $150 on one job,how many hours did she work​
Simora [160]

Answer:

She worked for 4 hours

Step-by-step explanation:

150-10=140

140/35=4

7 0
3 years ago
Read 2 more answers
Twice the difference of a number and 8 is equal to three times the sum of the number and 7. Find the number.
Vikentia [17]

Answer:

The number is -37.

Step-by-step explanation:

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2x - 16 = 3x + 21

x = -37

8 0
3 years ago
Can you solve this for me by: 
Slav-nsk [51]
2a^2-32

2*a^2-2*16

2*(a^2-16)

but we have a Difference of two square

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now you can see it very well

2*(a^2-4^2)

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\boxed{\boxed{2*(a-4)*(a+4)}}
7 0
3 years ago
Y times 3=9 y =what
Nezavi [6.7K]

Answer: 3 Y=3

Step-by-step explanation:

Y×3=9

3×3=9

You can also check this by rearranging it and dividing 9 by 3.

9÷3=3.

This works for any similar problem.

Example:

Y×4=12 Y=? Y=3

Rearrange it and divide 12 by 4.

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12÷4=3

So Y×4=12 because 3×4=12

Hope this helps!

6 0
3 years ago
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