Question

2x²-12x+6=0...........​

Answer 1

2x²-12x+6=0

2 ( x² - 6x + 3 ) = 0 | : 2

x² - 6x + 3 = 0

{a = 1

{b = - 6

{c = 3

∆ = b² - 4ac = (-6)² - 4 • 1 • 3 = 36 - 12 = 24

✓ ∆ = ✓24 = ✓2² • 6 = 2✓6

x1 = -b-✓∆ / 2a = -(-6)-2✓6 /2•1 = 6-2✓6/2

x1 = 3-✓6

x2 = -b+✓∆ / 2a = -(-6)+2✓6 /2•1 =6+2✓6/2

x2 = 3+✓6

S = { 3 - ✓6 ; 3 + ✓6 }

Trebuie doar sa folosești formulele