The value of x²^x + x (x²) when x = 2 is:
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If x^2+x=1. then x^2-x=?
or. x^2+x-1=0
or. x=[-1+/-√(1+4)]/2.1
or. x=(-1+/-√5)/2……………(1)
or. Squaring both sides.
x^2=( 1+5-/+2√5)/4= (6-/+2.√5)/4.
x^2=(3-/+√5)/2………………….(2)
On subtracting eqn.(1) from (2)
x^2-x=(3-/+√5)/2-(-1+/-√5)/2=(3-/+√5+1-/+√5)/2
x^2-x=(4-/+2.√5)/2
x^2-x = 2-/+√5.
x^2-x=2-√5 or 2+√5. Answer.
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