Prosiłbym o jak najszybsze rozwiązanie
![Prosiłbym O Jak Najszybsze Rozwiązanie class=](https://pl-static.z-dn.net/files/df9/3b6f458a699a29e43ce2caf9d7cb825a.jpg)
Odpowiedź:
1)
12x² = 0
x = 0
2)
x² - 81 = 0
(x - 9)(x + 9) = 0
x - 9 = 0 ∨ x + 9 = 0
x = 9 ∨ x = - 9
3)
- 3x² - 4x + 4 = 0
a = - 3 , b = - 4 , c = 4
Δ = b² - 4ac = (- 4)² - 4 * (- 3) * 4 = 16 + 48 = 64
√Δ = √64 = 8
x₁ = ( - b - √Δ)/2a = (4 - 8)/(- 6) = - 4/(- 6) = 4/6 = 2/3
x₂ = (- b + √Δ)/2a = (4 + 8)/(- 6) = 12/(- 6) = - 2
4)
3x² - 5x = x² - x
3x² - 5x + x - x² = 0
2x² - 4x = 0
2x(x - 2) = 0
2x = 0 ∨ x - 2 = 0
x = 0 ∨ x = 2
Odpowiedź:
1) [tex]x^{2} =0[/tex]
x=0
2) [tex]x^{2} =81[/tex]
x=9
x=-9
3) [tex]3x^{2} +4x-4=0[/tex]
[tex]3x^{2} +6x-2x-4=0[/tex]
[tex]3x(x+2)-2(x+2)=0[/tex]
[tex](x+2)(3x-2)=0[/tex]
[tex]\left \{ {{x+2=0} \atop {3x-2=0}} \right.[/tex]
[tex]x=-2[/tex]
[tex]x=\frac{2}{3}[/tex]
4) [tex]3x^{2} -5x-x^{2} +x=0[/tex]
[tex]2x^{2} -4x=0[/tex]
[tex]2x(x-2)=0[/tex]
[tex]x(x-2)=0[/tex]
[tex]x=0\\x-2=0[/tex]
[tex]x=0\\x=2[/tex]