4 х^2=2 х-3 через дискриминант 5x^2+26x=24 3x^2-5x=0 6-2x^=0 t^2=35-2t

1) 4 х² = 2 х - 3,

4 х² - 2 х + 3 = 0,

D = 4 - 48 = - 40 < 0 нет корней.

2) 5x² + 26x = 24,

5x² + 26x - 24 = 0,

D = 676 + 480 = 1156, корни уравнения будут равны:

х₁ = 4/5,

х₂ = - 6,

3) 3x² - 5x = 0,

х (3 х - 5) = 0,

х₁ = 0,

х₂ = 5/3,

4) 6 - 2x² = 0,

- 2x² = - 6,

x² = - 6 / ( - 2),

x² = 3,

х₁ = √3,

х₂ = - √3,

5) t² = 35 - 2t,

t² + 2t - 35 = 0,

D = 144,

х₁ = ( - 2 + 12) / 2 = 10/2 = 5,

х₂ = ( - 2 - 12) / 2 = - 14/10 = - 7/5.