Q 1 a,c,e
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Step-by-step explanation:
(a) 8/x=2x+1
8=x(2x+1)
8=2x^2+x
2x^2+x-8=0
By quadratic formula:
x = -b+-√b^2-4ac/2c
here; a=2, b=1 ,c=-8
x= -1+-√(1)^2-4(2)(-8)/2(-8)
x= -1+- √ 1 +64/-16
x= -1+-√ 1 - 64/16
x= -1 +- √ 16-64/16
x= -1 +-√ -48/16
x= -1+-√-3
x= -1 + - i√3. (Here i = -1)
The value of x are (-1+i√3 , -1-i√3).
(c) x+1/5-x = x
x+1 = 5x - x^2
x^2+x-5x+1=0
x^2-4x+1=0
By quadratic formula;
a=1 ,b= -4,c= 1
x=-1+-√(4)^2-4(1)(1)/2(1)
x=-1+-√16-4/2
x= -1+-√32/2-4/2
x= -1+-√14
The value of x are (-1+√14, -1-√14)
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