# Identify all real roots of the equation: x^4 - 9x^2 + 20 = 0. please show work

1 answer

###### Question:

identify all real roots of the equation: x^4 - 9x^2 + 20 = 0. please show work

## Answers

we need to factoruse u subsitutionu=x²we getu²-9u+20=0factorwhat 2 numbers multiply to get 20 and add to get -9-4 and -5(u-4)(u-5)=0u=x²(x²-4)(x²-5)=0factor again(x-2)(x+2)(x-√5)(x+√5)=0set equal to zerox-2=0x=2x+2=0x=-2x-√5=0x=√5x+√5=0x=-√5x=-2,-√5,√5,2

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