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KlintEastwood24
@KlintEastwood24
July 2022
2
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Решите неполные квадратные уравнения.
А)2,5x^2=0
Б)-3x^2+4x=0
В)-9x^2+16=0
Г)(15-x)*(X-2)=(X-6)*(X+5)
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Gviona
1)2,5x^2=0
x^2=0:2,5
x^2=0
x=0
2)-3x^2+4x=0 |*(-1)
3x^2-4x=0
x(3x-4)=0
x1=0; 3x-4=0; x2=4/3
3)-9x^2+16=0 |*(-1)
9x^2-16=0
(3x-4)(3x+4)=0
3x-4=0; 3x+4=0
x=4/3 x=-4/3
4)(15-x)(x-2)=(x-6)(x+5)
15x-30-x^2+2x=x^2+5x-6x-30
17x-30-x^2=x^2-x-30
17x-30-x^2-x^2+x+30=0
-2x^2+18x=0 |:(-2)
x^2-9x=0
x(x-9)=0
x=0; x-9=0; x2=9
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Answers & Comments
x^2=0:2,5
x^2=0
x=0
2)-3x^2+4x=0 |*(-1)
3x^2-4x=0
x(3x-4)=0
x1=0; 3x-4=0; x2=4/3
3)-9x^2+16=0 |*(-1)
9x^2-16=0
(3x-4)(3x+4)=0
3x-4=0; 3x+4=0
x=4/3 x=-4/3
4)(15-x)(x-2)=(x-6)(x+5)
15x-30-x^2+2x=x^2+5x-6x-30
17x-30-x^2=x^2-x-30
17x-30-x^2-x^2+x+30=0
-2x^2+18x=0 |:(-2)
x^2-9x=0
x(x-9)=0
x=0; x-9=0; x2=9