a) -x²+49=0 49-x²=0 (7-x)(7+x)=0 7-x=0 lub 7+x=0 x=7 lub x=-7 b)6x²- 5x=0 x(6x-5)=0 x=0 lub 6x-5=0 x=0 lub x=5/6 c)3/4x²+ 1/2x = 0/*4 3x²+ 2x = 0 x(3x+2)=0 x=0 lub 3x+2=0 x=0 lub x=-2/3 d)1/3x - 2/5x²= 0/*15 5x-6x² = 0 x(5-6x)=0 x=0 lub 5-6x=0 x=0 lub x=5/6 e)9x² - 2 = 0 (3x-√2)(3x+√2)=0 3x-√2 =0 lub 3x+√2 =0 x= √2/3 lub x=- √2/3
a) -x²+49=0 ---- / *(-1) x² - 49 = 0 (x - 7)(x + 7) = 0 x - 7 = 0 lub x + 7 = 0 x = 7 lub x = -7 b) 6x²- 5x=0 x(6x - 5) = 0 x = 0 lub 6x - 5 = 0 6x = 5 x = 5/6 c)3/4x² + 1/2x = 0 x(3/4x + 1/2) = 0 x = 0 lub 3/4x + 1/2 = 0 3/4x = -1/2 x = -1/2 * 4/3 x = - 2/3 d)1/3x - 2/5x² = 0 x(1/3 - 2/5x) = 0 x = 0 lub 1/3 - 2/5x = 0 -2/5x = -1/3 x = -1/3 * (-5/2) x = 5/6 e)9x² - 2 = 0 (3x - √2)(3x + √2) = 0 3x - √2 = 0 lub 3x + √2 = 0 3x = √2 lub 3x = -√2 x = √2 / 3 lub x = -√2 / 3