What is (7+6i)/(6+i) ?

The solution to (7+6i)/(6+i) is 48/37+29/37 i

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simplify (7+6i)/(6+i)

simplify

\frac{7 + 6 i}{6 + i}

\frac{48}{37} + \frac{29}{37} i

Solution steps

\frac{7 + 6 i}{6 + i}

Multiply by the conjugate

\frac{6 - i}{6 - i}

= \frac{( 7 + 6 i ) ( 6 - i )}{( 6 + i ) ( 6 - i )}

Simplify

\frac{( 7 + 6 i ) ( 6 - i )}{( 6 + i ) ( 6 - i )} : \frac{48 + 29 i}{37}

= \frac{48 + 29 i}{37}

Rewrite in standard complex form:

\frac{48}{37} + \frac{29}{37} i

= \frac{48}{37} + \frac{29}{37} i

4^{\frac{1}{3}} \cdot 1 6^{\frac{1}{3}}

5 x^{2} - 40 x

2 x^{2} - 9 x + 10 = 0

(x - 3)^{2}

\frac{j}{2} - 1 \leq 1