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Best Answer

The problem can be written as

3x2 = 6x + 9

x is the number we want to find

Solution:

x2 = 2x + 3

x2 - 2x - 3 = 0

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

x = -1, 3

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Q: Three times the square of a certain positive number exceeds six times the number by nine Find the number?
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Is the square root of a positive number an irrational number?

Sometimes the square root of a positive number can be irrational, as in the square root of 2 (which is a non-perfect square number), but sometimes it is a rational number, as in the square root of 25 (which is a perfect square number).


Why is square root of the number -9 not a real number?

For the same reason that the square root of ANY negative number is not a real number.Real numbers are positive, negative, or zero. * The square of a positive number is a positive number. * The square of a negative number is a positive number. * The square of zero is zero. In other words, in no case will you get a REAL number whose square is a negative number. The square roots of negative numbers are said to be "imaginary" - a name given for historical reasons. They are just as "real" or "unreal" as the so-called real numbers, but the point is that they are a different kind of numbers.


Why is it impossible to get a negative answer when you square any number?

V kno that- x- is +. Now when u sqare a negative no it means occouring 2 times and cancel out each other. For example- -2 x -2=4 ============================ (a second answer.) Every real number is either negative, positive or zero. When you square a number, you multiply it by itself, so if you square a negative number, you are multiplying a negative by a negative which gives a positive. If you square a positive, you multiply a positive by a positive and get a positive. If you square 0 , get 0. Therefore, in no case is the answer negative. ( It is harder to explain why a negative times a negative is positive.)


How many square roots does the number 13 have?

Every positive number has TWO square roots. The principal square root is the positive number which, when multiplied by itself, gives the number in question. But its negative equivalent will also be a square root. For example, the number 4 has 2 as the principal sqrt but -2 is also a sqrt of 4


Is the square root of 41 an irrational or a rational number?

Irrational. The square root of a positive integer is either an integer, or an irrational number.

Related questions

The square of a certain positive number plus the number itself is 42 find the number?

d no is "6"


The square of a positive integer?

The square of a positive number is positive. By the way, the square of a negative number is also positive.


When you square a number the number is positive?

When you square a real number the answer is positive,


When 10 is added three times a certain positive number the result is the same as the square of the given number find this number?

6


Three times the square of a certain positive number exceeds six times the number by nine. Find the number?

3x2 - 9 = 6x 3x2 - 6x - 9 = 0 3(x + 1)(x - 3) x = -1, 3 The answer is 3. Check it. 27 - 9 = 18 It checks.


Four times the square of a positive number exceeds 8 times the number by 12 Find the number?

4n2 = 8n + 12 n2 - 2n - 3 = 0 (n - 3)(n + 1) = 0 n = -1, 3 Since it has to be positive, the answer is 3.


Why is any number raised to a even power positive?

A positive number times a positive number is always positive. A negative number times a negative number is always positive. Therefore, any square number will be positive. Any number to the fourth power (a square times a square) will always be positive. And so on.


Is the square of a negative number a positive or negative number?

It is positive.


Can you square an integer and get a negative number?

No. The square of a positive number is positive; the square of a negative number is also positive; and the square of zero is zero. If you want to square a number and get a negative result, you need complex numbers. For example, the square of 2i is -4.


The number one is the smallest positive square what is the conditional?

If the number is one, then it is the smallest positive square.


What 2 numbers would be the square root of 53?

Every positive integer has two square roots, a positive square root and a negative square root. This is because, just like a positive number multiplied by a positive number is equal to a positive number, a negative number multiplied by a negative number is equal to a positive number. Therefore, rounded to two decimal places, the positive square root is equal to 7.28, and the negative square root is -7.28.


What square numbers are even and which square numbers are odd?

The square of every positive or negative even whole number is a positive even whole number. The square of every positive or negative odd whole number is a positive odd whole number. There are an infinite number of each kind.