PILNE!!!!!! Rozwiąż równanie kwadratowe a. 5x^2 = 99 - 6x^2 b.(x+5)(x-5)=24 c. x^2 + 169 = 0 d. x^2 - 12x =2(x-3)^2 e. (x-4)^2 = 9 -8x f. (y+3)^2 = 3(2y+6)

a) 5x^2= 99 -6x^2    /+6x^2 11x^2=99   /:11 x^2=9 x^2-9=0 (x-3)(x+3)=0 x=3 lub x -3 b) (x+5)(x-5)=24 x^2-25=24   /-24 x^2-49=0 (x-7)(x+7)=0 x=7 lub x= -77 c) x^2+169=0 Δ=0^2-4*1*169=0 -676= -676 -676<0 brak pierw. d) x^2 - 12x=2(x-3)^2 x^2-12x=2(x^2-6x+9) x^2-12x=2x^2-12x+18    /-x^2+12x x^2+18=0 Δ=0^2-4*1*18=0 -72= -72 -72<0 brak pierw. e) (x-4)^2=9-8x x^2-8x+16=9-8x  /-9+8x x^2+7=0 Δ=0^2-4*1*7=0-28= -28 -28<0 brak pierw. f) (y+3)^2=3(2y+6) y^2+6y+9=6y+18   /-6y-18 y^2-9=0 (y-3)(y+3)=0 y=3 lub y= -3