Rozwiąż równanie. a) 54[latex] x^{2} [/latex] = 16 b) 64[latex] x^{3} [/latex] + 27 = 0 c) 3,2[latex] x^{4} [/latex] - 51,2 = 0 d) 64[latex] x^{4} [/latex] - 100 = 0

a ) 54x² = 16 / : 54 x² = 16 / 54 x² = 8 / 27 x = 2√6 / 9 lub x = - 2√6 / 9 b ) 64x³ + 27 = 0 64x³ = - 27 / : 64 x³ = - 27 / 64 x = - 3 / 4 c ) 3,2x⁴ − 51,2 = 0 / * 10 32x⁴ − 512 = 0 32x⁴ = 512 / : 32 x⁴ = 16 x = 2 lub x = - 2 d ) 64x⁴ - 100 = 0 4 ( 16x⁴ - 25 ) = 0 16x⁴ - 25 = 0 ( 4x² - 5 )( 4x² + 5 ) = 0 ( 2x - √5 )( 2x + √5 )( 4x² + 5 ) = 0 2x - √5 = 0      2x + √5 = 0 2x = √5 / : 2    2x = - √5 / : 2 x = √5 / 2        x = - √5 / 2