Write a perfect square trinomial. Then, place the negative sign and the fraction where requested. To solve it write it as a perfect square and take the square root of each side.
A perfect square trinomial equation in which the middle term is negative and the last term is a fraction looks as follows.
( ax)^2 - 2( ax)(b/c) + (b/c)^2 = 0
In the equation above a, b, and c are any real numbers and b and c have no common factors. Let's pick, for example, a= 2, b= 3, and c = 4.
( 2x)^2 - 2( 2x)(3/4) + (3/4)^2 = 0
⇓
4x^2 - 3x + 9/16 = 0
The final equation is the one we were requested to find. Next, let's solve this equation for x.
In conclusion, the solution to the equation we wrote is x= 38. Keep in mind that the equation presented above is just an example and your answer may vary.
