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faltersainse [42]
3 years ago
8

Solve for the roots in simplest form by completing the square x^2-12x+20=0

Mathematics
1 answer:
Alex17521 [72]3 years ago
5 0

Answer:

x = 10 or x = 2

Step-by-step explanation:

Solve for x:

x^2 - 12 x + 20 = 0

Hint: | Solve the quadratic equation by completing the square.

Subtract 20 from both sides:

x^2 - 12 x = -20

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 36 to both sides:

x^2 - 12 x + 36 = 16

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x - 6)^2 = 16

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x - 6 = 4 or x - 6 = -4

Hint: | Look at the first equation: Solve for x.

Add 6 to both sides:

x = 10 or x - 6 = -4

Hint: | Look at the second equation: Solve for x.

Add 6 to both sides:

Answer: x = 10 or x = 2

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At her birthday​ party, Ms. Willow would not give her age directly. She​ said, 'If you add the year of my birth to this​ year, s
Nimfa-mama [501]

Answer:

69 years

Step-by-step explanation:

Given that:

Let year of birth = x

This year = 2020

Year of 25th birthday = x + 25

Year of 55th birthday = x + 55

Present age = 2020 - x

Hence,

x + 2020 - (x + 25 + x + 55) + (2020 - x) = 58

x + 2020 - (2x + 80) + (2020 - x) = 58

x + 2020 - 2x - 80 + 2020 - x = 58

-2x + 4040 - 80 = 58

-2x + 3960 = 58

-2x = 58 - 3960

-2x = - 3902

x = 1951

Birth year = 1951

,

Hence, age =

2020 - 1951 = 69 years

5 0
3 years ago
As a fraction (all of the bellow) <br> 6.7<br> -0.92<br> -0.1<br> -5.05
iren2701 [21]

Answer:

6.7 = 6 \frac{7}{10}

-0.92= -\frac{23}{25}

-0.1= -\frac{1}{10}

-5.05=-5\frac{1}{20}

Step-by-step explanation:

:-)

First rewrite the decimal as a number with 1 in the denominator.

2nd multiply to remove 2 decimal places by (100/100)

3rd reduce the result of the multiplication

Then simplify the improper fraction

-Alex :-)

6 0
2 years ago
Read 2 more answers
sam is cooking cookies the recipe calls for 3 4/5 cuos of flour. she accidentally puts in 5 1/4 cups how many extra cups did she
nevsk [136]
First, we have to get the fractions to common denominators.

4/5 = 16/20
1/4 = 5/20

5 5/20 - 3 16/20 = 1 9/20

She put 1 9/20 extra cups in.
7 0
3 years ago
Write an algebraic expression for the word expression.
kolbaska11 [484]

Answer:

3 + x

Step-by-step explanation:

Sum means to add, so you would just add 3 and x (since they haven't given an actual number and only a variable).

3 0
2 years ago
7. A sales girl is paid Rs 5,000 per month as salary and a 4 commission of % on total sales. If she receives Rs 5,192 at the end
kari74 [83]

Answer:

Sh 4800

Step-by-step explanation:

5192 - 5000 = 192 ( which is the total commission)

4% = 192

100%=? ( so we get the total sales)

100*192/4 = 4800 ( which is the total sales )

5 0
2 years ago
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