Question

Find the whole number such that four times the number subtracted from three
times the square of the number makes 15.​

Answer 1

Answer:

3

Step-by-step explanation:

Let x be the whole number and square of the number will be x2.

It is given that four times the number subtracted from three times the square of the number makes 15, therefore,

3x2−4x=15⇒3x2−4x−15=0⇒3x2−9x+5x−15=0⇒3x(x−3)+5(x−3)=0⇒(3x+5)=0,(x−3)=0⇒3x=−5,x=3⇒x=−35,x=3

Since x is a whole number, thus x=3.

Hence, the required whole numbers is 3.

Answer 2

Answer:

let the whole number be x.

According To Question,

3x²-4x=15;

3x²-4x-15=0;

3x²-9x+5x-15=0;

3x(x-3)+5(x-3)=0;

(3x+5)(x-3)=0;

x=-5/3 or x=3

x=3 because x is a whole number.

So, the required whole number is 3.

Step-by-step explanation:

hope it helps you.