I have an equation and answer but do not know the steps involved to arrive at the answer. Try as I might I do need help!!
1 / x = x / 1 + x
Solving for x
x = (1+ sqrt. {5}) / 2
Is it a linear equation?
I have an equation and answer but do not know the steps involved to arrive at the answer. Try as I might I do need help!!
1 / x = x / 1 + x
Solving for x
x = (1+ sqrt. {5}) / 2
Is it a linear equation?
It will look like this.
Golden ratio - Wikipedia, the free encyclopedia
First of all we know that $\displaystyle x \neq 0, -1$
Second, multiply each side by the others denominator: $\displaystyle \dfrac{1}{x} \cdot \dfrac{1+x}{1+x} = \dfrac{x}{1+x} \cdot \dfrac{x}{x}$ (we can do this because of what I defined above)
When we simplify we get: $\displaystyle \dfrac{1+x}{x(1+x)} = \dfrac{x^2}{x(1+x)}$
The denominators are the same and hence will cancel to give $\displaystyle 1+x = x^2$ - put into standard form and use the quadratic formula to solve