a] (2x-5)²+11x+2=(2x+3)(2x-3) 4x²-20x+25+11x+2=4x²-9 4x²-4x²-9x+25+9=0 -9x=-34 x=34/9 x=3 ⁷/₉ b] (½x-2)²-3=(½x-4)(0,5x+4) ¼x²-2x+4-3=¼x²-16 ¼x²-¼x²-2x=-16-1 -2x=-17 x=17/2 x=8,5 c] (2-√2)(x+√2)=6-√2 2x+2√2-x√2-2=6-√2 2x-x√2=6-√2+2-2√2 x(2-√2)=8-3√2 x=(8-3√2)/(2-√2) x=[16+8√2-6√2-6]/[ 4-2] x=[10+2√2]/2 x=2(5+√2)/2 x=5+√2 d] 3-√3 x=x-1 3+1=x+√3 x x(1+√3)=4 x=4/(1+√3) x=[4-4√3]/[1-3] x=-2(2√3-2)/-2 x=2√3-2 e] √2(x-3)=x+4 √2x-3√2=x+4 √2x-x=4+3√2 x(√2-1)=4+3√2 x=(4+3√2)/(√2-1) x=4√2+4+6+3√2 x=7√2+10
a) (2x - 5)² + 11x + 2 = (2x +3 )(2x-3) 4x²-20x+25+11x+2=4x²-9 -9x=18 x=-2 b) ( ½ x -2)² - 3 = ( ½ x - 4)(0,5 x +4) ¼x²-2x+4-3=¼x²-16 -2x=-17 x=17/2 c)( 2 - √2 ) ( x + √2) = 6 - √2 2x+2√2-x√2-2=6-√2 2x-x√2=8-3√2 x(2-√2)=8-3√2 x=(8-3√2)/(2-√2) x=(8-3√2)/(2-√2) * (2+√2)/(2+√2) = (16 +8√2-6√2-6)/(4-2) = (10-2√2)/2 = 2(5+√2)/2 = 5+√2 nawiasy to ulamki zwykle, mysle ze sie polapiesz x=5+√2 d) 3 - √3x = x -1 3+1=x+√3x x+√3x=4 x(1+√3)=4 x= 4/(1+√3) = 4/(1+√3) * (1-√3)/(1-√3) = (4-4√3)/(1-3) = (4-4√3)/-2 = -2(-2+2√3)/(-2)=-2+2√3 x=-2+2√3 e) √2(x - 3) = x+4 x√2-3√2=x+4 x√2-x=4+3√2 x(√2-1)=4+3√2 x=(4+3√2)/(√2-1) = (4+3√2)/(√2-1) * (√2+1)/(√2+1) = (4√2+4+6+3√2)/(2-1) = (7√2+10)/1 = 7√2+10 x=7√2+10
POMOOOOOCY !!!!!! Rozwiąż równania : a) (2x - 5)² + 11x + 2 = (2x +3 )(2x-3) b) ( ½ x -2)² - 3 = ( ½ x - 4)(0,5 x +4) c)( 2 - √2 ) ( x + √2) = 6 - √2 d) 3 - √3x = x -1 e) √2(x - 3) = x+4 ...
