Twice a number is added to three times it’s square. if the result is 16, find the number.

ANSWER:

Twice a number is added to three times it’s square. The number is 2, -2.67

SOLUTION:

Let the number be x.

Given, twice a number is added to three times it’s square.

twice a number +  three times it’s square

2 number + 3 numbers square

Also given that, result is 16. So the above equation is equal to 16

Let us find roots of above equation using quadratic formula.

Here, a = 3, b = 2, c = -16

On simplification we get,

x = 2, -2.67

Hence, the value of "x" is either 2 or -2.67