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Ira Lisetskai [31]
3 years ago
12

Given 1.2x^2−2.4=0. Find the roots of the equation.

Mathematics
1 answer:
Gelneren [198K]3 years ago
8 0

Answer:

x=\sqrt{2}, x=- \sqrt{2}

Step-by-step explanation:

Given:

1.2x^2-2.4=0

We need to find roots of the equation.

First we will solve the above equation and then will remove the root for the same.

1.2x^2-2.4=0\\1.2x^2=2.4\\x^2=\frac{2.4}{1.2}=2\\

Now to find the roots we need to square root on both side.

\sqrt{x^2}=\sqrt{2}\\

square and square root gets cancelled we get.

x= \sqrt{2}, x= - \sqrt{2}

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Using factor theorem , show that (x -4) is a factor 2x3 + x2 -26x - 40 and hence factorize completely.
notka56 [123]

Step-by-step explanation:

if x-4 is a factor of 2x^3 + x^2- 26x - 40

then f(4) = 0

f(x) = 2x^3 + x^2- 26x - 40

f(4) = 2(4)^3 + (4)^2 - 26(4) - 40

f(4)= 2(64) + 16 - 104 - 40

f(4) = 128 + 16 - 104 - 40

f(4) = 0

hence factorize completely is the photo

7 0
3 years ago
Which expression gives the distance between the points (2,5) and (-4, 8)?
german

Answer:

A. (2+4)² +(5-8)²

Step-by-step explanation:

To find then distance between two points, we will follow the steps below;

write down the formula

D = √(x₂-x₁)²+(y₂-y₁)²

(-4, 8)

x₁=-4

y₁ = 8

(2,5)

x₂=2

y₂=5

we can now proceed to insert the values into the formula

D = √(x₂-x₁)²+(y₂-y₁)²

   

   = √(2+4)²+(5-8)²

    =√(6)² + (-3)²

   =√36+9

   =√45

Therefore the expression which gives the distance between two the two points is  (2+4)² +(5-8)²

7 0
3 years ago
3.
sergey [27]

Answer:

His money earned $36 after 3 months

Step-by-step explanation:

* Lets revise the rules of simple interest

- Simple Interest Equation (Principal + Interest)

 A = P(1 + rt)

- Where:

• A = Total amount (principal + interest)  future amount

• P = Principal Amount

• I = Interest Amount

• r = Rate of Interest per year in decimal; r = R/100

• t = Time Period involved  

* To calculate the interest I use the formula

  I = P × r × t

* Lets solve the problem

- The rate is annual

- The interest calculated after 3 months

∴ I = P × R/100 × t/12

∵ P = $3600.00

∵ R = 4%

∵ t = 3 month

∴ I = 3600.00 × 4/100 × 3/12 = $36

* His money earned $36 after 3 months

5 0
3 years ago
This circle is centered at the orgin, and the length of it’s radius is 5. What is the ewuation of the circle?
pav-90 [236]
\bf \textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{0}{ h},\stackrel{0}{ k})\qquad \qquad 
radius=\stackrel{5}{ r}
\\\\\\
(x-0)^2+(y-0)^2=5^2\implies x^2+y^2=25
8 0
3 years ago
Read 2 more answers
Can someone please help me I really need help please help me thank you
just olya [345]

Answer:

1800 or D.

Step-by-step explanation:

Ill post a link an article that can help you master this, I found it very useful. Tell me if you need help after reading it

3 0
3 years ago
Read 2 more answers
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