1. 2х^2 + 20 = 14х 2х^2 - 14х + 20 = 0 D=b^2-4ac= 196 - 4 • 2 • 20 = 36х1,2 = (14±8)/4х1 = 8 х2 = 3/2 = 1,5
2. 8х + х^2 + 16 = 0 х^2 + 8х + 16 = 0 D=b^2-4ac = 64 - 4 • 8 • 16 = -448решений нет
3. 8х^2 - 26х = 7 8х^2 - 26х - 7 = 0 D=b^2-4ac = 676 - 4 • 8 • (-7) = 900х1,2 = (26±30)/16х1 = 3,5 х2 = -0,25
4. 9х^2 - 3х + 1 = 0 D=b^2-4ac = 9 - 4 • 9 • 1 = - 27решений нет
5. 18х^2 - 9х = 09х • (2х - 1) = 09х = 0 ИЛИ 2х - 1 = 0х1 = 0 2х = 1 х2 = 1/2 = 0,5
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
1. 2х^2 + 20 = 14х
2х^2 - 14х + 20 = 0
D=b^2-4ac= 196 - 4 • 2 • 20 = 36
х1,2 = (14±8)/4
х1 = 8 х2 = 3/2 = 1,5
2. 8х + х^2 + 16 = 0
х^2 + 8х + 16 = 0
D=b^2-4ac = 64 - 4 • 8 • 16 = -448
решений нет
3. 8х^2 - 26х = 7
8х^2 - 26х - 7 = 0
D=b^2-4ac = 676 - 4 • 8 • (-7) = 900
х1,2 = (26±30)/16
х1 = 3,5 х2 = -0,25
4. 9х^2 - 3х + 1 = 0
D=b^2-4ac = 9 - 4 • 9 • 1 = - 27
решений нет
5. 18х^2 - 9х = 0
9х • (2х - 1) = 0
9х = 0 ИЛИ 2х - 1 = 0
х1 = 0 2х = 1
х2 = 1/2 = 0,5