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3 years ago

Solve the square: x^2-4x+8=0

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

4 0

Answer:

(x-2)^2+4.

Hope this helps!

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3 years ago

Use the identity (x+y)(x2−xy+y2)=x3+y3 to find the sum of two numbers if the product of the numbers is 10, the sum of the square

professor190 [17]

Answer:

The sum of two numbers is 7.

Step-by-step explanation:

Given : the product of the numbers is 10, the sum of the squares of the numbers is 29, and the sum of the cubes of the numbers is 133.

Using identity $(x+y)(x^2-xy+y^2)=x^3+y^3$ and given details, we have to find the sum of two numbers.

Since, given that the product of the numbers is 10 that is $xy=10$

Also, given the sum of the squares of the numbers is 29 that is $x^2+y^2=29$

and the sum of the cubes of the numbers is 133 that is $x^3+y^3=133$

Using, the given identity $(x+y)(x^2-xy+y^2)=x^3+y^3$ ,

Substitute, the given values, we have,

$(x+y)(29-10)=133$

Simplify , we get,

$(x+y)(19)=133$

Divide both side by 19, we have,

$(x+y)=7$

Thus, the sum of two numbers is 7.

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3 years ago

Read 2 more answers

The function f(x) = 25(4)^x represents the growth of a bird population every year in a national park. Kyle wants to manipulate t

Natasha_Volkova [10]

$f(x)=25(4)^{\frac{x}{2}}$ will be the function to calculate population every half year.

Further explanation:

The given formula is:

$f(x) = 25(4)^x$

In the given formula, x represents the amount of time in years. So, in order to convert the given function for yearly calculation of population, to find the population every half year the time will be converted into half. This means that instead of x, x/2 will be used.

So the new function will be:

$f(x) = 25(4)^{\frac{x}{2}}$