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Create an image embodying the concept of a complex mathematical problem. Depict this image without any text, instead representing it through symbolic forms. Imagine a large square in the center of the image, representing a square number. From this square, visualize smaller shadows or figures being subtracted, equaling to 13 times of a single figure, thus illustrating the multiplication aspect. The remaining part of the square represents the number 30. Introduce soothing colors to make the image appealing while maintaining the complex essence of the problem.

If 13 times a number is subtracted from the square of the number, the result is 30. Find the number

Good answers thanks

Why was the math book sad? Because it had too many problems! But don't worry, I'm here to solve them for you!

Let's call the number "x". According to the problem, if we subtract 13 times the number from the square of the number, we should get 30.
In mathematical terms, that would be: x^2 - 13x = 30.

To find the value of "x", we can rearrange the equation to get:
x^2 - 13x - 30 = 0.

Now we have a quadratic equation that we can solve. Using factoring, we can rewrite it as:
(x - 15)(x + 2) = 0.

Setting each factor equal to zero, we find:
x - 15 = 0 or x + 2 = 0.

Solving for "x" in each case, we get:
x = 15 or x = -2.

So, the possible values for the number are 15 and -2.

x = your number

If 13 times a number is subtracted from the square of the number, the result is 30 means:

x² - 13 x = 30

Try to solve this quadratic equation.

The solutions are:

x = - 2 and x = 15

__________________________

( - 2 ) ² - 13 ∙ ( - 2 ) = 4 + 26 = 30

15 ² - 13 ∙ 15 = 225 - 195 = 30
__________________________

if 13 times a number is subtracted form the square of the number, the resuit is 30. find the number

To find the number, we need to set up an equation based on the given information. Let's assume the number is represented by x.

The square of the number is x^2, and 13 times the number is 13x. According to the problem, when 13 times the number is subtracted from the square of the number, the result is 30.

So, we can write the equation as:

x^2 - 13x = 30

To solve this equation:

Step 1: Move all terms to one side of the equation to form a quadratic equation in standard form:
x^2 - 13x - 30 = 0

Step 2: Factor the quadratic equation, if possible. If not, use the quadratic formula to find the values of x.

In this case, the equation can be factored as (x - 15)(x + 2) = 0

Setting each factor equal to zero, we get:
x - 15 = 0 or x + 2 = 0

Solving each equation gives us:
x = 15 or x = -2

Hence, the two possible numbers that satisfy the given conditions are 15 and -2.