find the roots of y^2 mod - y mod -12=0
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Answer:
+4 and -4
Step-by-step explanation:
|y^2| - |y| - 12 = 0
we can say |y^2| = |y|^2 = y^2.
let |y| = k.
k^2 - k -12 =0
k^2 - 4k + 3k - 12=0
k(k-4) + 3(k-4) =0
(k-4)(k+3)=0
:• k = 4 or k = -3
|y| = 4 or -3
(. |y| can't be negative)
so, neglect -3.
=> |y| = 4
=> y = -4 or 4
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