Question

Five times a number is equal to three less than twice he square of the number find the number

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Answer 1

Answer:

Step-by-step explanation:

Let the number be x.

Given, five times the number =3 less than twice the square of the number

5x=2x^2-3,

2x^2-5x-3=0,

(x-3)(2x+1)=0,

x-3=0,or 2x+1=0

x=3,or x=1/2.

so the required number is 3.

Answer 2

Answer:

Step-by-step explanation:

Let n = the unknown number.

The English sentence, "Three more than twice a number n is equal to the number n," can be translated mathematically into the following equation:

2n + 3 = n

Subtracting 3 from both sides, we get:

2n + 3 - 3 = n - 3

2n + 0 = n - 3

2n = n - 3

Now subtract n from both sides to isolate and solve for n:

2n - n = n - n - 3

(2 - 1)n = 0 - 3

(1)n = -3

n = -3

CHECK:

2n + 3 = n

2(-3) + 3 = -3

-6 + 3 = -3

-3 = -3

Therefore, n = -3 is the desired number.