Question

Уравнения, на картинке

Answer 1

$1)quad y^2- frac{1}{9}=0 ; to ; ; y^2=frac{1}{9}; to ; ; y=pm frac{1}{3}\\2)quad x^2+6x+9=0; ; to ; ; (x+3)^2=0; ; to ; ; x=-3\\3)quad 2x^2+10x+8=0; ; to ; ; 2(x^2+5x+4)=0; ; to ; x_1=-4,; x_2=-1\\(po; teoreme; Vieta)\\4)quad -5x^2+6x=0; to ; ; x(-5x+6)=0; to ; x_1=0; ,; x_2=frac{6}{5}=1,2\\5)quad 14x-3=-5x^2; to ; 5x^2+14x-3=0\\D=256,; x_1= frac{-14-16}{10} =-22,6; ;; ; x_2=frac{-14+16}{10}=0,2$

$6)quad (x-2)^2=3x-8\\x^2-4x+4=3x-8\\x^2-7x+12=0; ; to ; ; x_1=3,; x_2=4; (teorema; Vieta)\\7)quad (x+3)(x-4)=-12\\x^2-x-12=-12\\x^2-x=0; ; to ; ; x(x-1)=0; to ; ; x_1=0; ,; x_2=1\\8)quad frac{1}{3} y^2-y+3=0; |cdot 3\\y^2-3y+9=0\\D=9-4cdot 9=-27 textless 0; ; to ; ; net; reshenij$