Question

If xi-hi=xh, then solve the equation for h in terms of x and i

a) i-x
b) i/(x-i)
c) (x-i)/i
d)(x-2)/(x-i)
e)xi/(x+i)

Answer 1

The equation xi - hi = xh leads to a quadratic equation in terms of h, which cannot be simplified to match any of the provided answer options without further information. The solution process involves isolating h and potentially using the quadratic formula to solve.

Step-by-step explanation:

To solve the equation xi - hi = xh for h in terms of x and i, we will isolate h on one side of the equation.

Starting with the equation:

xi - hi = xh,

We can factor out i from the left side:

i(x - h) = xh.

Next, we divide both sides by (x - h) to solve for h:

h = xi / (x - h).

To remove h from the denominator, we must solve for h by cross-multiplying and isolating h:

1. Multiply both sides by (x - h) to get (x - h) * h = xi.
2. Distribute h on the left side to get hx - h^2 = xi.
3. Move all terms involving h to one side to obtain h^2 - hx + xi = 0.
4. We recognize this as a quadratic in h, which can be solved using the quadratic formula.

However, the options provided do not include a quadratic expression. There appears to be an error in the options or the equation given. Based on the information provided, we cannot determine the exact form of h in terms of x and i without additional context or correction to the equation or answer choices.