$ a + a^2 = 90 $. Need hint.

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From trig text. Am supposed to find complementary angles $a$ and $a^2$. Tried completing the square, got

$(a + 1/2)^2 = 361/4$.

Stuck. Help.

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Hint: Take the square root of both sides, in the equation you got after completing the square.

As columbus8myhw noted, remember to put a $\pm$ sign.

Note that $19^2=361$