What is (1/4+1/7 i)-(5/6+7/2 i) ?

The solution to (1/4+1/7 i)-(5/6+7/2 i) is -7/12-47/14 i

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simplify (1/4+1/7 i)-(5/6+7/2 i)

simplify

(\frac{1}{4} + \frac{1}{7} i) - (\frac{5}{6} + \frac{7}{2} i)

- \frac{7}{12} - \frac{47}{14} i

Solution steps

(\frac{1}{4} + \frac{1}{7} i) - (\frac{5}{6} + \frac{7}{2} i)

Group the real part and the imaginary part of the complex number

(a + bi) - (c + d i) = (a - c) + (b - d) i

= (\frac{1}{4} - \frac{5}{6}) + (\frac{1}{7} - \frac{7}{2}) i

Simplify

(\frac{1}{4} - \frac{5}{6}) + (\frac{1}{7} - \frac{7}{2}) i : - \frac{7}{12} - \frac{47}{14} i

= - \frac{7}{12} - \frac{47}{14} i

x ln (x) - x > 0

(2 x + 3) 2 - 14 x - 21 = - 6

5 - 8 + 3 - 18

x (x + 3) \leq 6 - x^{2} - 3 x

x^{2} - 10 x + 18 = 0

What is (1/4+1/7 i)-(5/6+7/2 i) ?
The solution to (1/4+1/7 i)-(5/6+7/2 i) is -7/12-47/14 i