(x+2)(x-3) - (2x-5)(x+3)= x(x-5). Created by DiannagrantD. algebra-ru

(x+2)(x-3) - (2x-5)(x+3)= x(x-5)...

DiannagrantD @DiannagrantD

July 2022 1 13 Report

(x+2)(x-3) - (2x-5)(x+3)= x(x-5)

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Dushzhanov987

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$(x+2)(x-3)-(2x-5)(x+3)=x(x-5)$
$x^2-3x+2x-6-(2x^2+6x-5x-15)=x^2-5x$
$-2x^2+3x+9=0$
$2x^2-3x-9=0$
$D=b^2-4ac$
$D=(-3)^2-4*2*(-9)=9+72=81$ , $D\ \textgreater \ 0$ ⇒2 р.д.к.
$x_1= \frac{-b+ \sqrt{D} }{2a}$
$x_2= \frac{-b- \sqrt{D} }{2a}$
$x_1= \frac{3+ \sqrt{81} }{2*2} = \frac{12}{4} =3$
$x_2= \frac{3- \sqrt{81} }{4} = \frac{3-9}{4} = -\frac{6}{4} =-1.5$
Ответ: $-1.5;3$

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