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3 years ago

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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Rewrite the following equation in log form: 2^2 = 4

Finger [1]

We have to write

$2^2 =4$

In log form

To convert exponential equation to log equation, we have to use the following rule $If \ a^b = c, \ then \ b=log_{a} c$

So we will get

$If \ 2^2 =4, \ then \ 2 = log_{2} 4$

$log_{2}4=2$

And that's the required log form .

5 0

3 years ago

Read 2 more answers

How many times does 32 go into 204

jeka94

This question have 2 different answer depending on what law he is stating in this problem
Solution 1
=> 204 / 32 = 6.38 times did 32 goes to 204.
Solution 2
=> 204 - 32 = 172
=> 172 / 32 = 5.38
=> 5.38 * 100% - 538%

6 0

3 years ago

In a survey of 3,000 people who owned a certain type of car, 1,050 said they would buy that type of car again. What percent of

Ray Of Light [21]

Answer:

35 percent

Step-by-step explanation:

1050 / 3000 as a percent

1050 / 3000 = 105 / 300

Divide both sides by 3:

300 / 3 = 100

105 / 3 = 35

35 / 100 = 35 percent

3 0

2 years ago

Read 2 more answers

The area of a rectangle with width × and length 7× is 7². what does the coefficient 7 mean in terms of the problem?

tatuchka [14]

The coefficient 7 means that the length is 7 times the width

<h3>How to interpret the coefficient?</h3>

The given parameters are:

Width = x

Length = 7x

Area = 7x^2

We have:

Length = 7x

Substitute Width = x in Length = 7x

Length = 7 * Width

This means that the length is 7 times the width