Answer to Question #87046 in Algebra for Katherinne

Question

One integer is seven less than another integer. The product of these two integers is 228. What are the two intergers?

Answer 1

x - the first integer

(x-7) - the secend integer

we have equation:

$x*(x-7)=228$

x²-7*x-228=0

D=(-7)²-4*1*(-228)=961

x₁=(7-31)/2=-12

x₂=(7+31)/2=19

the secend integer x-7=-12-7=-19 or x-7=19-7=12

answer -12; -19; or 12;19