Question

When the product of 6 and the square of a number is increased by 5 times the number, the result is 4. Select all of the values that the number could be.
*select all that apply*
-
4/3
1/2
-3/4
2

Answer 1

Answer with Step-by-step explanation:

When the product of 6 and the square of a number is increased by 5 times the number, the result is 4.

Let the number be x

⇒ 6x²+5x=4

⇒ 6x²+5x-4=0

⇒ 6x²+8x-3x-4=0

⇒ 2x(3x+4)-1(3x+4)=0

⇒ (2x-1)(3x+4)=0

⇒ 2x-1=0 or 3x+4=0

⇒ x=1/2 or x= -4/3

Hence, The Possible values of number are:

-  4/3

1/2

Answer 2

The answer for your question is -4/3 and 1/2. I just took the assignment for that, haha.