Rozwiąż równanie: a) [latex]3x(x-1)+5=0[/latex] b) [latex]2x(3-x)=4x-1,5[/latex] c) [latex] 10x^{2}+9=15x(x-2) [/latex]

a) 3x² - 3x + 5 = 0 Δ = 9 - 60 <0 brak rozw. b) 6x - 2x² = 4x - 1,5 2x² - 2x - 1,5 = 0 Δ = 4 + 12 = 16    √Δ = 4 x₁ = [latex] frac{2-4}{4} [/latex] = [latex] frac{-1}{2} [/latex] x₂ = [latex] frac{2+4}{4} [/latex] = [latex] frac{3}{2} [/latex] c) 10x² + 9 = 15x² - 30x 5x² - 30x - 9 = 0 Δ = 900 + 180 = 1080    √Δ = 6√30 x₁ = [latex] frac{30+6 sqrt{30} }{10} [/latex] x₂ = [latex] frac{30-6 sqrt{30} }{10} [/latex]