Question

The difference between two numbers is 3. If the square of the smaller number is
goal to 4 times the larger number, find the number.​

Answer 1

Answer:

let the two numbers be a and b.

Given:

a-b=3

and 4a=b²

a=b²/4

putting value in above equation,

(b²/4)-b=3

(b²-4b)/4=3

b²-4b=12

b²-4b-12=0

b²-6b+2b-12=0

b(b-6)+2(b-6)=0

(b-2)(b+6)=0

b=2 or b=-6

a=b²/4

=2²/4=1

a=1

or =(-6)²/4

=9

a=9

Step-by-step explanation:

if a=1, b=2

or a=9, b=-6