Question

to the square of a natural number four times the next natural number is added and the result is 36.Find the number
please answer fast!!!!​

Answer 1

Step-by-step explanation:

this may help you to understand

Answer 2

Step-by-step explanation:

Let the number be x.

Square of the number = x^2

4 times the next natural number = 4(x+1)

Therefore,

x^2 + 4(x+1) = 36 .. eq(i)

x^2 + 4x + 4 = 36

x^2 + 4x - 32 = 0

x^2 + 8x - 4x - 32 = 0

x(x + 8) - 4(x + 8) = 0

(x+8)=0 or (x-4)=0

x = -8 or x = 4

Therefore, the natural number can be 4 or -8.