Question

решите 3 уравнения плиз!!!!! (распишите подробно)

а)x+|x|+7x+12=0 б)-2x^2+6/x+6=11x/6+x в)x^4+3x^2-10=0

Answer 1

$a) x+|x|+7x+2=0$
$8x+|x|+12=0$
$8x+x+12=0,x geq 0$
$8x-x+12=0, x textless 0$
$x=- frac{4}{3} ,x geq 0$
$x=- frac{12}{7} ,x textless 0$
x∈∅
$x=- frac{12}{7}$
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в)$x^4+3x^2-10=0$
$x^2=t$
$t^2+3t-10=0$
$D=9+40= sqrt{49} = 7^2$
$t_{1} =2$
$t_{2} =-5$
$x^2=t$
$x^2=2$
$x^2=-5$ x∉R
$x_{1} = sqrt{2}$
$x_{2} =- sqrt{2}$
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Answer 2

да