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marishapotapova2001
@marishapotapova2001
July 2022
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3+√(х+3)=х
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2407Alexa
3+√(х+3)=х
√(x+3)=(x-3)
(√(x+3))²=(x-3)²
x+3=x²-2×x×3+(-3)²
x+3=x²-6x+9
x²-6x+9-x-3=0
x²-7x+6=0
1-вариант:
По теореме Виета:
x1+x2=-(-7)=7
x1×x2=6
x1=1
x2=6
2-вариант:
D=(-(-7))²-4×1×6=49-24=25
x1=(-(-7)-√25)/2×1=(7-5)/2=2/2=1
x2=(-(-7)+√25)/2×1=(7+5)/2=12/2=6
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Answers & Comments
√(x+3)=(x-3)
(√(x+3))²=(x-3)²
x+3=x²-2×x×3+(-3)²
x+3=x²-6x+9
x²-6x+9-x-3=0
x²-7x+6=0
1-вариант:
По теореме Виета:
x1+x2=-(-7)=7
x1×x2=6
x1=1
x2=6
2-вариант:
D=(-(-7))²-4×1×6=49-24=25
x1=(-(-7)-√25)/2×1=(7-5)/2=2/2=1
x2=(-(-7)+√25)/2×1=(7+5)/2=12/2=6