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?
x2 + x = 42
x2 + 2x = 42
x2 + x + 42 = 0
x2 + 2x + 42 = 0

The sum: "+"

a number: "x"

a square of a number: "x²"

x + x² = 42 → x² + x = 42

Step-by-step explanation:

Let

x------> the number

we know that

The algebraic expression that represent the situation is equal to

----> quadratic equation

using a graphing tool-----> to resolve the quadratic equation

see the attached figure

The solutions are

Verify each solution

For

substitute in the expression

-----> is true

For

substitute in the expression

-----> is true

10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.