a)45x²-18x=-12+45x² -18x=-12/:18 -x=- 2/3 x=2/3 b)x²+35x-50=4x+x²-2x-28 x²+35x-4x-x²+2x=-28+50 33x=22/:33 x=2/3 c)nie wiem gdzie się kończy nawias:(
a)9x(5x-2)=-12+45x² L(2/3) = 9*2/3(5*2/3 -2) = 6( 10/3 - 6/3) = 6 *4/3 = 8 P(2/3) = -12 + 45*(2/3)² = -12 + 45*4/9 = -12 + 20 = 8 L(2/3) = P(2/3) x = 2/3 jest rozwiazaniem równania b)x(x+35)-50=x(4+x)-2(x+14) L(2/3) = 2/3( 2/3 +35) - 50 = (2/3)*(107/3) -50 = 214/9 - 50 = 23 i 7/9 - 50= = - 26 i 2/9 P(2/3) = 2/3(4 + 2/3) -2( 2/3 + 14) = (2/3) *(14/3) - 2*(44/3) = 28/9 - 88/3= = 28/9 - 264/9 = - 236/9 = -26 i 2/9 L92/3) = P(2/3) x = 2/3 jest rozwiazaniem równania 8(3x²-x-10) = 24x²+8 L(2/3) = 8 [3*(2/3)² - 2/3 -10] = 8[ 3*4/9 - 2/3 -10] = 8[ 4/3 -2/3 -10] = = 8[ 2/3 - 10] = 8*(-9⅓)= 8*(-28/3) = - 224/3 = - 74⅔ P(2/3) = 24*(2/3)² + 8 = 24*(4/9) + 8 = 32/3 + 8 = 10⅔ + 8 = 18⅔ L(2/3)≠L(2/3) x = 2/3 nie jest rozwiazaniem równania
9x(5x-2)=-12+45x² 9*⅔ (5*⅔-2)=-12+45*(⅔)² 6(5⅔-2)=-12+45*4/9 6*17/3-12=-12+20 34-12=8 22=8 L≠P x(x+35)-50=x(4+x)-2(x+14) x²+35x-50=4x+x²-2x-28 (⅔)²+35*⅔-50=4*⅔+(⅔)²-2*⅔-28 4/9 +23⅓-50=2⅔+4/9 -1⅓-28 4/9+70/3-50=8/3+4/9-4/3-28 4/9+210/9-50=24/9+4/9-12/9-28 214/9-50=16/9-28 23 7/9-50=1 7/9-28 -26 2/9=-26 2/9 L=P 8(3x²-x-10=24x²+8 24x²-8x-80=24x²+8 -8x=80+8 -8x=88 -8*⅔=88 -16/3=88 -5⅓=88 L≠P
