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The conjugate of the complex number a + bi is the complex number a - bi . In other terms, it is the original complex number along the sign on the imaginary part changed. Here are some instance of complex numbers and their conjugates.
complex number conjugate
3+ (½) i 3 - (½) i
12 - 5i 12+ 5i
1 - i 1+i
45i 45i
101 101
Note that the conjugate of a real number is only itself with no changes.
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Solve by factorization X 2 +(a/a+b + a+b/a)x+1 = 0 X 2 +(a/a+b + a+b/a)x+1 => X 2 +(a/a+b x a+b/ax + a/a+b .a+b/a) => X[x+a/a+b] +a+b/a[a+a*a+b]= 0 => X= -a
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