Question

rozwiaz rownania KWADRATOWE 1. 6(5x-7)=(4x+11)(5x-7) 2. (2x-5)(x-3)=(x-4)(2x-5) 3. (3x+3)(x-2)=(2-x)(x+8) z gory dziekuje za pomoc ;P

Answer 1

1. 6(5x - 7)=(4x + 11)(5x - 7)

6(5x - 7) - (4x + 11)(5x - 7) = 0

(5x - 7)(6 - 4x - 11) = 0

(5x - 7)(-4x - 5) = 0

x = 7/5 , x = -5/4

 

2. (2x - 5)(x - 3)=(x - 4)(2x - 5)

(2x - 5)(x - 3) - (x - 4)(2x - 5) = 0

(2x - 5)(x - 3 - x + 4) = 0

2x - 5 = 0

2x = 5

x = 5/2

 

3. (3x + 3)(x - 2) = (2 - x)(x + 8)

3x² - 6x + 3x - 6 = 2x + 16 - x² - 8x

4x² + 3x - 22 = 0

 

Δ = 9 - 4 · 4 · (-22) = 9 + 352 = 361, √Δ = 19

x₁ = -3 - 19/8 = -22/8 = - 11/4

x₂ = -3 + 19/8 = 16/8 = 2