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raketka [301]
3 years ago
6

The difference of the square of a number and 4 is equal to 3 times that number. Find the negative solution.

Mathematics
1 answer:
leonid [27]3 years ago
7 0

The negative solution is x = –1.

Solution:

Let the number be x.

Square of a number = x²

3 times a number = 3x

Difference of square of a number and 4 = 3 times that number

\Rightarrow x^2-4=3x

Subtract 3x from both sides of the equation, we get

\Rightarrow x^2-3x-4=0

–3x can be written as x – 4x.

\Rightarrow x^2+x-4x-4=0

\Rightarrow( x^2+x)+(-4x-4)=0

1st bracket have common term x and bracket have –4 common term.

\Rightarrow x( x+1)-4(x+1)=0

Take common term x + 1 outside.

(x+1)(x-4)=0

<em>By zero factor principle, if AB = 0 then A = 0 or B = 0.</em>

x + 1 = 0,   x – 4 = 0

x = –1,   x = 4

The negative solution is x = –1.

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Answer:

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3 0
2 years ago
The word "less than" represent what operation?
bixtya [17]

Answer:

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  • The term 'less than' symbolically represented as '<'.

Step-by-step explanation:

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It expresses that one value will be lesser than the other.

The term 'less than' symbolically represented as '<'.

We can implement certain operations like comparing values, heights, and numbers.

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4 0
3 years ago
A study conducted to determine the relationship between the age, x, in years of a certain brand of motorcycle and its value, y,
kirza4 [7]

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The regression equation that models the data is; y = -750·x + 8500

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When the motorcycle is 5 years old, we have;

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Based on the equation, the estimated value of a motorcycle that is 5 years old, y =<u> $4,750</u>

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3 years ago
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