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

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )