Fullstendig kvadrat
Fullstendig kvadrat
Fullstendig kvadrat
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<strong>Fullstendig</strong> <strong>kvadrat</strong><br />
Bruke 1. og 2. setning motsatt vei<br />
a 2 + 2ab + b 2 = (a + b) 2<br />
x 2 + 2 2 x + 2 2<br />
x2 + bx + c er et fullstendig<strong>kvadrat</strong> c = b 2<br />
2<br />
x2 + bx + c = (x + ) 2 b<br />
c =<br />
2<br />
b 2<br />
2<br />
x 2 + 4x + 4 = (x + 2) 2