Question

determine by equation 2 is the root of 2x-3 = 1​

Answer 1

Answer:

Step-by-step explanation:

What are the roots of the equation 2x-3/x=1 step by step?

Solution: 2x-3/x=1, or

Multiply throughout by x to get

2x^2 - 3 = x, or rewrite it as

2x^2 -x - 3 = 0. (It is of the form ax^2+bx+c = 0).

The roots are x1 and x2, where

x1 = [1+(1+4*2*3)^0.5]/4. [One root is x1 = [-b+(b^2–4ac)^0.5]/2.]

= [1+(1+24)^0.5]/4

= [ 1+(25)^0.5]/4

= [1+5]/4

= 6/4 or 3/2

x2 = [1-(1+4*2*3)^0.5]/4. [Another root is x1 = [-b-(b^2–4ac)^0.5]/2.]

= [1-(1+24)^0.5]/4

= [ 1-(25)^0.5]/4

= [1-5]/4

= -4/4 or -1.

So, x = -1 or 3/2. Answer.