a)
x²+3x-3x+9=24+x
x²-x-15=0
D=1-4×1×(-15)=1+60=61
x1=1+7,8÷2=4,4
x2=1-7,8÷2=-3,4
b)
D=16-4×(-12)×1=16+48=64
x1=4+8÷24=0,5
x2=4-8÷24=0,16
c)
-400x²-36=0
x²=-36÷(-400)
x2=0,09
x=0,3
d)
-5x²-75x=0
x(-5x-75)=0
x1=0
-5x-75=0
-5x=75
x=75÷(-5)
x2=-15
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Answers & Comments
a)
x²+3x-3x+9=24+x
x²-x-15=0
D=1-4×1×(-15)=1+60=61
x1=1+7,8÷2=4,4
x2=1-7,8÷2=-3,4
b)
D=16-4×(-12)×1=16+48=64
x1=4+8÷24=0,5
x2=4-8÷24=0,16
c)
-400x²-36=0
x²=-36÷(-400)
x2=0,09
x=0,3
d)
-5x²-75x=0
x(-5x-75)=0
x1=0
-5x-75=0
-5x=75
x=75÷(-5)
x2=-15