what is the solution set for 0=x^2-4.75x+3

Question

I am looking for a solution for this problem

Answer 1

Let's change 4.75 into a fractional coefficient.

 

4.75 = 4 3/4 = 19/4

 

 

x²  - (19/4)x + 3 = 0

 

 

Multiply by 4 on both sides of equation to get rid of the denominator.

 

4x² - 19x + 12 = 0

 

 

Now, we can factor.

 

(4x - 3)(x - 4) = 0

 

 

Set the factors equal to zero.

 

4x - 3 = 0        and         x - 4 = 0

 

4x = 3              and       x = 4

 

x = 3/4

 

 

The solutions are

 

x = 3/4

x = 4