Question

the hm of the roots of the equation x^2-8x+4=0 is​

Answer 1

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