A positive real number is 3 more than another. When -6 times the smaller is added to the square of the larger, the result is 54.

Question

Help please.!

Answer 1

I assume you want to know what the numbers are.

Let x = the smaller number

Let x + 3 = the larger number

-6x + (x + 3)² = 54

-6x + x² + 6x + 9 = 54

x²  = 45

x = √45 = √9√5

x = 3√5

x + 3 = 3 + 3√5