the sum of a number and its square is 42. which equation can be used to find the two numbers for which this…

the sum of a number and its square is 42. which equation can be used to find the two numbers for which this is true?\n$x^{2}+x = 42$\n$x^{2}+2x = 42$\n$x^{2}+x + 42 = 0$\n$x^{2}+2x + 42 = 0$

the sum of a number and its square is 42. which equation can be used to find the two numbers for which this is true?\n$x^{2}+x = 42$\n$x^{2}+2x = 42$\n$x^{2}+x + 42 = 0$\n$x^{2}+2x + 42 = 0$

Answer

Explanation:

Step1: Define the number

Let the number be $x$. Its square is $x^{2}$.

Step2: Set up the equation

The sum of the number and its square is 42, so $x^{2}+x = 42$.

Answer:

A. $x^{2}+x = 42$