Question

the square of a natural number is 6 more than 5 times that number. what is the number​

Answer 1

Answer:

6

Step-by-step explanation:

n^2=5n+6

n^2-5n-6=0

this is a quadratic equation. we need to find roots.

n^2-6n+n-6=0

n(n-6)+1(n-6)=0

(n+1)(n-6)=0

n will either be -1 or 6.

but we have to find a natural number.

so n=6

Answer 2

Step-by-step explanation:

5(x^2)=6

x^2=(6/5)

x

$= \sqrt{6 \div 5}$