Question

help me with this please​

Answer 1

Step-by-step explanation:

the numbers are 3 and 5

the factored form is

x(x+2)-3 = 12

x^2+2x-3 -12=0

x^2 + 2x - 15 = 0

Answer 2

Step-by-step explanation:

Given :-

The product of two consecutive odd integers is decreased by 3 the result is 12.

To find :-

Find the integers ?

Solution :-

Let the first odd integer be X

The second odd integer = X+2

Their product = X(X+2)

The product of two consecutive odd integers is decreased by 3

=> X(X+2)-3

According to the given problem

=> X(X+2)-3 = 12

=> X²+2X-3 = 12

=> X²+2X-3-12 = 0

=> X²+2X-15 = 0

=> X²-3X+5X-15 = 0

=> X(X-3)+5(X-3) = 0

=> (X-3)(X+5) = 0

=> X-3 = 0 or X+5 = 0

=> X = 3 or X = -5

If X = 3 then X+2 = 3+2 = 5

If X = -5 then X+2 = -5+2 = -3

Therefore, the two integers are 3 and 5 or -5 and -3

Answer :-

The required two integers for the given problem is 3 and 5 or -5 and -3

Check:-

If the two integers are 3 and 5 then

According to the given problem

=> 3×5-3

=> 15-3

=> 12

If the two integers are -3 and -5 then

According to the given problem

=> (-3)×(-5)-3

=> 15-3

=> 12

Verified the given relations in the given problem.