Question

When 18 is subtracted from the square of a number, the result is 3 times the number. Find the negative solution

Answer 1

Answer:

x = -3

Step-by-step explanation:

Let the number be "x"

"When 18 is subtracted from square of a number" can be written as :

$x^2 - 18$

3 times the number, can be written as:

$3x$

So we equate and write:

$x^2-18=3x$

We rearrange and solve by factoring:

$x^2-18=3x\\x^2-3x-18=0\\(x-6)(x+3)=0\\x=6,-3$

x is 6

x is -3

The negative solution is:

x = -3

Answer 2

The negative solution to the problem is -3.

What is an equation?

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the unknown number. When 18 is subtracted from the square of a number, the result is 3 times the number. Hence:

x² - 18 = 3x

x² - 3x - 18 = 0

Solving the quadratic equation gives:

x = -3; and x = 6

The negative solution to the problem is -3.

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