Question

alguien q me ayude con mate de ecuaciones cuadractias y ese tipo por llamada manden msj priv plssssss​

Answer 1

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I.-

$x^2-81=0$

$x^2-81+81=0+81$

$x^2=81$

$x=\sqrt{81},\:x=-\sqrt{81}$

$x=\sqrt{81},\:x=-\sqrt{81}$

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II.-

$3x^2-75=0$

$3x^2-75+75=0+75$

$3x^2=75$

$\frac{3x^2}{3}=\frac{75}{3}$

$x^2=25$

$x=\sqrt{25},\:x=-\sqrt{25}$

$x=5,\:x=-5$

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III.-

$x^2+27=31$

$x^2+27-27=31-27$

$x^2=4$

$x=\sqrt{4},\:x=-\sqrt{4}$

$x=2,\:x=-2$

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IV.-

$x^2+7=-42$

$x^2+7-7=-42-7$

$x^2=-49$

$x=\sqrt{-49},\:x=-\sqrt{-49}$

$x=7,\:x=-7$

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V.-

$-100x^2+400=0$

$-100x^2+400-400=0-400$

$-100x^2=-400$

$\frac{-100x^2}{-100}=\frac{-400}{-100}$

$x^2=4$

$x=\sqrt{4},\:x=-\sqrt{4}$

$x=2,\:x=-2$

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VI.-

$x^2+5=0$

$x^2+5-5=0-5$

$x^2=-5$

$x=\sqrt{-5},\:x=-\sqrt{-5}$

$x=\sqrt{5}i,\:x=-\sqrt{5}i$

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VII.-

$-x^2-1=-65$

$-x^2-1+1=-65+1$

$-x^2=-64$

$\frac{-x^2}{-1}=\frac{-64}{-1}$

$x^2=64$

$x=\sqrt{64},\:x=-\sqrt{64}$

$x=8,\:x=-8$

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VIII.-

$x^2-36=0$

$x^2-36+36=0+36$

$x^2=36$

$x=\sqrt{36},\:x=-\sqrt{36}$

$x=6,\:x=-6$

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IX.-

$-2x^2+128=0$

$-2x^2+128-128=0-128$

$-2x^2=-128$

$\frac{-2x^2}{-2}=\frac{-128}{-2}$

$x^2=64$

$x=\sqrt{64},\:x=-\sqrt{64}$

$x=8,\:x=-8$

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X.-

$25x^2-49=0$

$25x^2-49+49=0+49$

$25x^2=49$

$\frac{25x^2}{25}=\frac{49}{25}$

$x^2=\frac{49}{25}$

$x=\sqrt{\frac{49}{25}},\:x=-\sqrt{\frac{49}{25}}$

$x=\frac{7}{5},\:x=-\frac{7}{5}$

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