2022 If Four Times A Whole Number Is Subtracted From, Three Times The Square Of The Number, The Result 15, Is Obtained. Find The Number.

• If four times a whole number is subtracted from

three times the square of the number, the result 15
is obtained. Find the number.

 

Answer: 3

Step-by-step explanation:

Let x be the number.

3x^{2} - 4x = 15

This problem is like getting the roots of a quadratic equation. Put it in standard form first then factor.

3x^{2} -4x - 15 = 0\\ (3x + 5)(x - 3) = 0\\ (3x + 5) = 0|(x - 3) = 0\\ 3x + 5= 0|x - 3 = 0\\ 3x = -5| x = 3\\ \frac{3x}{3} = \frac{-5}{3} | x =3\\x= -\frac{5}{3} | x =3

Now, we have found the roots. However, theres only one root which is whole number. So, the answer is 3.

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