SOLUTION: I have the equation {{{ x^4-134x^2+1125=0 }}} and the answers {{{ -5sqrt(5) }}} , -3,3, and {{{ 5sqrt(5) }}} . My question is how did it simplified all the way down from {{{ x^4-13

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I have the equation {{{ x^4-134x^2+1125=0 }}} and the answers {{{ -5sqrt(5) }}} , -3,3, and {{{ 5sqrt(5) }}} . My question is how did it simplified all the way down from {{{ x^4-13      Log On


   



Question 759763: I have the equation +x%5E4-134x%5E2%2B1125=0+ and the answers +-5sqrt%285%29+ , -3,3, and +5sqrt%285%29+ . My question is how did it simplified all the way down from +x%5E4-134x%5E2%2B1125=0+ to x=-(-134)ħsqrt((-134)^2-4(1)(1125))÷2(1) to x=134ħsqrt(13456))÷2 to +-5sqrt%285%29+ , -3,3, and +5sqrt%285%29+ ??
Answer by sachi(548) About Me  (Show Source):
You can put this solution on YOUR website!
x^4-134x^2+1125=0
let us put x^2=y so the eqn converts to
y^2-134y+1125=0
or y^2-125y-9y+1125=0
or y(y-125)-9(y-125)=0
or (y-125)(y-9)=0
or y=125 or 9
or x^2=125 or 9
or x= sqrt(125) or sqrt9
or x={{ -5sqrt(5) }}} , -3,3, and +5sqrt%285%29+