a) 5x² + 100x - 320 = 0
(-b±[tex]\sqrt{b²-4.a.c})[/tex]/2.a
(-(100)±[tex]\sqrt{100²-4.5.(-320)})[/tex]/2.5
(-100±[tex]\sqrt{10000-20.(-320)})[/tex]/10
(-100±[tex]\sqrt{10000-6400})[/tex]/10
(-100±[tex]\sqrt{3600})[/tex]/10
(-100±60)/10
x1=-160/10=-16
x2=-40/10=-4
b) x² + 12x + 36 = 0
(-12±[tex]\sqrt{12²-4.1.36})[/tex]/2.1
(-12±[tex]\sqrt{144-144})[/tex]/2
(-12±[tex]\sqrt{0})[/tex]/2
-12±1/2
x1=-13/2 = -6,5
x2=-11/2 = -5,5
c) 3x² - 75 = 0
(0±[tex]\sqrt{-4.3.(-75)})[/tex]/2.3
(0±[tex]\sqrt{900})[/tex]/6
0±30/6
x1=30/6=5
x2=-30/6=-5
d) 6x² + 18x = 0
(-18±[tex]\sqrt{18²-4.6.0})[/tex]/2.6
(-18±[tex]\sqrt{324})[/tex]/12
-18±18/12
x1=0/12 = 0
x2=-36/12 = -3
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a) 5x² + 100x - 320 = 0
(-b±[tex]\sqrt{b²-4.a.c})[/tex]/2.a
(-(100)±[tex]\sqrt{100²-4.5.(-320)})[/tex]/2.5
(-100±[tex]\sqrt{10000-20.(-320)})[/tex]/10
(-100±[tex]\sqrt{10000-6400})[/tex]/10
(-100±[tex]\sqrt{3600})[/tex]/10
(-100±60)/10
x1=-160/10=-16
x2=-40/10=-4
b) x² + 12x + 36 = 0
(-b±[tex]\sqrt{b²-4.a.c})[/tex]/2.a
(-12±[tex]\sqrt{12²-4.1.36})[/tex]/2.1
(-12±[tex]\sqrt{144-144})[/tex]/2
(-12±[tex]\sqrt{0})[/tex]/2
-12±1/2
x1=-13/2 = -6,5
x2=-11/2 = -5,5
c) 3x² - 75 = 0
(-b±[tex]\sqrt{b²-4.a.c})[/tex]/2.a
(0±[tex]\sqrt{-4.3.(-75)})[/tex]/2.3
(0±[tex]\sqrt{900})[/tex]/6
0±30/6
x1=30/6=5
x2=-30/6=-5
d) 6x² + 18x = 0
(-b±[tex]\sqrt{b²-4.a.c})[/tex]/2.a
(-18±[tex]\sqrt{18²-4.6.0})[/tex]/2.6
(-18±[tex]\sqrt{324})[/tex]/12
-18±18/12
x1=0/12 = 0
x2=-36/12 = -3