SOLUTION: solve for x x^2 - x - 1 = 0

Algebra.Com
Question 249731: solve for x
x^2 - x - 1 = 0

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


The given quadratic has no rational factors, hence you either have to complete the square or used the quadratic formula:



so , , and . Just plug in the numbers.



And do the arithmetic. By the way, the positive root of your quadratic is a particularly interesting number. It is called the golden ratio and is the ratio of the long side to the shorter side of the golden rectangle.

John


RELATED QUESTIONS

Solve for x x^2-x+1=0... (answered by texttutoring)
(e^x)((x^2)-1)=0 solve for... (answered by Alan3354)
solve for x (x-2)/(x-1)=5/x, x#0,... (answered by stanbon)
solve for x i) (3x-4)(x+1)=2 ii) x-2/x-1=5/x ,... (answered by mananth)
Solve for X: 6x-7(x^1/2)-... (answered by stanbon)
solve for x:... (answered by stanbon)
Solve for x by factoring. x^2 + 2x - 1=... (answered by jorel1380)
solve equation for x. 3e^(x+1)... (answered by Tatiana_Stebko,solver91311)
Solve for x:... (answered by richwmiller)