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Mandarinka [93]
3 years ago
11

Explain how to solve 5x2-3x=25 by completing the square. What are the solutions

Mathematics
1 answer:
Vilka [71]3 years ago
4 0

5x2-3x=25

Divide each term by 5:

x^2 - 3/5x = 5

Make a trinomial square of the left side by taking the square of half of the coefficient of x.

The coefficient of x is -3, so the square would be (-3/10)^2

Add that to both sides of the equation.

Now you have:

x^2 - 3/5x + (-3/10)^2 = 5 + (-3/10)^2

Simplify both sides:

x^2 -3/5x +9/100 = 509/100

Factor the trinomial:

(x-3/10)^2 = 509/100

Solve for x, , take the square root of both sides:

x-3/10 = +/-√509 / 100

Simplify the right side:

x-3/10 = +/-√509/10

Add 3/10 to both sides:

X = +/-√509/10 + 3/10 ( this is the exact form)

You can then find the decimal answer if needed.

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The measure of an angle is 39°. What is the measure of its complementary angle?
Novosadov [1.4K]

Answer:

51 degrees

Step-by-step explanation:

Complementary angles are two angles whose sum is (90degrees). If one is given an angle measure and needs to find its complementary angle, then all one has to do is subtract the given angle measure from (90degrees).

90 - 39 = 51

3 0
3 years ago
Read 2 more answers
Solve for x.<br><br> 4(x−214)=−3.7<br><br> Enter your answer as a decimal in the box.<br><br> x =
andre [41]
X = 213.075
First you have to get rid of the 4 and since it’s multiplying you to the opposite and that’s dividing.
-3.7 divided by 4 = -0.925
X - 214 = -0. 925
Then you add 214 to -0.925 and get 213.075
7 0
3 years ago
1
Maslowich

(−0.0081p)(t)=(15000)(2.718282)

Step 1: Divide both sides by -0.0081t.

−0.0081pt

−0.0081t

=

40774.227427

−0.0081t

p=

−40774.227427

0.0081t

Answer:

p=

−40774.227427

0.0081t

5 0
2 years ago
What is 720,000 written in scientific notation?​
n200080 [17]

Answer:

=7.2×10⁵

is in scientific notation

5 0
2 years ago
Read 2 more answers
Solve the equastion for x + 2 1/2 =10
Virty [35]

Answer:

x= 7 1/2

Step-by-step explanation:

Subtract the 1/2 to get it out of the way (whatever you do on one side of the = sign you have to do to the other)

So 10- 1/2= 9 1/2

Subtract the 2 to get it out of the way

9 1/2-2=

7 1/2

Hope it helped :)

8 0
2 years ago
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