rozwiaz { 3x - 2y = 8 { 2x + y = 3 to jest jedno zadanie polaczone tym nawiasem b) x² + 4x - 12 = 0 c) 2x² + 10x - 12 ≤ 0 te 3 zadanka prosze rozwiazac oczywiscie daje naj tylko prosze o czytelne rozwiazania

{3x -2y = 8 {2x+y = 3 /*2 {3x-2y=8 {4x+2y=6 +________ 7x=14 /:7 x=2 6-2y=8 -2y=2 y=-1 {x=2 {y=-1 b) a=1 b= 4 c=-12 Δ= b²-4ac Δ=16 +48 Δ=64 √Δ= 8 x₁= -4-8/ 2 = -12/2 = -6 x₂= -4+8/2 = 4/2 = 2 c) a = 2 b = 10 c=-12 Δ= 100=96 √Δ= 2 x₁= -10-2/4 = -12/4 = -3 x₂ = -10+2/4 = -8/4 = -2

{ 3x - 2y = 8 { 2x + y = 3/*2 [3x-2y=8 [4x+2y=6 ````````` __7x=14/:7 ___x=2 3x-2y=8 3*2-2y=8 6-2y=8 -2y=8-6 -2y=2/:(-2) __y=-1 {x=2 {y=-1 b) x² + 4x - 12 = 0_____dla a=1 b=4 c=-12 Δ=b²-4ac=4²-4*1*(-12)=16+48=64 x₁=-b+√Δ/2a=⁻⁴⁺⁸/₂*₁=⁴/₂=2 x₂=-b-√Δ/2a=⁻⁴⁻⁸/₂*₁=⁻¹²/₂=-6 x² + 4x - 12=0 1(x-2)(x-(-6)=0 (x-2)(x+6)=0 c) 2x² + 10x - 12 ≤ 0 Δ=b²-4ac=10²-4*2*(-12)=100+96=196 x₁=-b-√Δ/2a=⁻¹⁰⁺¹⁴/₂*₂=⁴/₄=1 x₂=-b+√Δ/2a=⁻¹⁰⁻¹⁴/₂*₂=⁻²⁴/₄=-6 2x² + 10x - 12 ≤ 0 2(x-1)(x-(-6))≤0 2(x-1)(x+6)≤0