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2 years ago

Find the real solutions, if any, of the following equation. Use the quadratic formula. x^2 square root 2x -5 =0

Mathematics

1 answer:

JulijaS [17]2 years ago

3 0

Answer:

x = 0 or x = 5/2

Step-by-step explanation:

Solve for x over the real numbers:

x^2 sqrt(2 x - 5) = 0

Split into two equations:

x^2 = 0 or sqrt(2 x - 5) = 0

Take the square root of both sides:

x = 0 or sqrt(2 x - 5) = 0

Square both sides:

x = 0 or 2 x - 5 = 0

Add 5 to both sides:

x = 0 or 2 x = 5

Divide both sides by 2:

Answer: x = 0 or x = 5/2

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VIVIENNE READ 3/5 OF A BOOK THAT IS 165 PAGES LONG. HOW MANY PAGES DID VIVIENNE<br> READ?

vladimir2022 [97]

Answer:

99 pages.

Step-by-step explanation:

First divide 165 by 5, to get 1/5th of the book. The answer is 33

Now, multiply 33 by 3 in order to get 3/5ths of the book.

You get 99 pages.

4 0

2 years ago

I need help ASAP

dem82 [27]

Answer:

The inequality is 6 + 3x ≤ 12 or x ≤ 2 .

Step-by-step explanation:

Given that $6 is for admission which is a fixed amount, $3 is charged per hour and must not spend more than $12. So the inequality will be :

Let x be the no. of hours,

6 + 3x ≤ 12

Solve :

6 + 3x ≤ 12

3x ≤ 12 - 6

3x ≤ 6

x ≤ 6 ÷ 3

x ≤ 2

4 0

2 years ago

Read 2 more answers

Nora invested $1,500 in a bond at a simple interest rate of 3%. How much will the bond be worth in total after 10 years?

attashe74 [19]

<h2>The bond will be worth in total after 10 years is =$1,950</h2>

Step-by-step explanation:

Given,

Nora invested $1,500 in at a bond simple interest rate of 3%

here P= $1500 R= 3% and t = 10year

Simple interest(I) = $\frac{P\times R \times t }{100}$

=$ $\frac{1500\times 3 \times 10}{100}$

=$ 450

<h3>The bond will be worth in total after 10 years is = $1,500+ $450</h3><h3> =$1,950</h3>

8 0

2 years ago

Because of a virus introduced into a bacterial culture, the population of the bacteria decreasedfrom 3000 to 1000 in 50 minutes.

Mamont248 [21]

Answer:

208

Step-by-step explanation:

Given that;

y= a(1 - b)^t

Where;

wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.

To obtain the constant b,

y= ae^-bt

Substituting values;

1000 = 3000 e^-b(50)

1000/3000 = e^b(50)

0.33 = e^b-(50)

ln (0.33) = ln(e^b(-50))

-1.1 = -50b

b= 1.1/50

b= 0.022

After two hours or 120 minutes;

y= 3000(1 - 0.022)^120

y= 207.8661772

y= 208

8 0

2 years ago

A quadratic equation is shown below:

Valentin [98]

Part A)

The given equation is:

$25 x^{2} +10x+1=0$

The radicand or discriminant(d) of the equation will be:

$d=(10)^{2}-4(25)(1) \\ \\ 
d=100-100 \\ \\ 
d=0$

Since the discriminant is equal to 0, the given quadratic equation has only 1 root. In other words we can say the the given equation is a perfect square.

Part B)

The given equation is:

$4 x^{2} -4x+1=0$

We can solve this expression by factorization. Factors of middle term are to be made in such a way that their product equals the product of first and third term and sum is equal to the middle term i.e. product should be 4x² and sum should be -4x.
So the two such terms are -2x and -2x. Using the factors and simplifying the equation by taking common we get:

$4 x^{2} -2x-2x+1=0 \\ \\ 
2x(2x-1)-1(2x-1)=0 \\ \\ 
(2x-1)(2x-1)=0 \\ \\ 
(2x-1) ^{2}=0 \\ \\ 
2x-1=0 \\ \\ 
x= \frac{1}{2}$

4 0

3 years ago

Find the real​ solutions, if​ any, of the following equation. Use the quadratic formula. x^2 square root 2x -5 =0

Find the real solutions, if any, of the following equation. Use the quadratic formula. x^2 square root 2x -5 =0