1. Persamaan kuadrat X² + 3X +( 7m +2)=0 mempunyai akar penyelesaian X1 dan X2 . Jika berlaku X1² + X2²=89, maka nilai m adalah...
a.-9
b.-8
c.-7
d.-6
a.-9
b.-8
c.-7
d.-6
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Verified answer
Jawab:
PERSAMAAN KUADRAT
ax² + bx + c = 0
x1 + x2 = -b/a
x1 . x2 = c/a
Penjelasan dengan langkah-langkah:
x² + 3x + (7m + 2) = 0
x1 + x2 = -3
x1 . x2 = 7m + 2
x1² + x2² = 89
(x1 + x2)² - 2x1x2 = 89
(-3)² - 2(7m + 2) = 89
9 - 14m - 4 = 89
14m = 5 - 89
14m = -84
m = -84/14
m = -6
Verified answer
Jawaban : d. -6cara penyelesaian ada pada lampiran