Question

9. Divide 39 into 2 parts whose product is 338.​

Answer 1

Answer:

13 and 16

Step-by-step explanation:

Let the parts be x and (39-x)

So,

x(39-x)=338

39x-x²=338

x²-39x+338=0

x²- 13x -26x+338=0

x(x-13)-26(x-13)=0

(x-16)(x-13)=0

So,

x=16,13

39 can be either divided into 16 and 13 or 13 and 16

Answer 2

39 is divided into two parts
Let one part be = x
So the other will be = 39 -x

Their product is 338

So the equation will be

x (39 - x) = 338

39x - x^2 = 338
-x^2 + 39x - 338 = 0
-X^2 + 13x + 26x -338 = 0
x ( -x + 13 ) - 26 (-x + 13) = 0
(-x + 13) (x - 26) =0

13 - x = 0 ; x - 26 = 0

X = -13
X = 26