the hm of the roots of the equation x^2-8x+4=0 is
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x²-8x+4 =0
on comparing this eq with standard form of quadratic equation ax² +bx+c=0
we get
a= 1 , b= -8 and c= 4
D= b²-4ac = -8² -4×1 × 4 = 64-16 = 48
-b+-√D/2a
x= ---------------
2a
8 +- √48
x= ------------
2
8 +- 4√3
x= ------------
2
when ' + '
8 + 4√3 4 (2+√3)
x= ------------. = --------------- = 2(2+√3 )
2. 2
when ' - '
8 - 4√3 4(2-√3)
x= ------------. =. --------------- = 2(2-√3)
2. 2
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