Question

Решите уровнение

2x(2x-1)=3(x+2)

x^2=15-2x
Cрочно надо, прошу помогите

Answer 1

2х(2х-1)=3(х+2)
4х²-2х=3х+6
4х²-2х-3х-6=0
4х²-5х-6=0
D=(-5)²-4(4×(-6))=121=11²
х1,2 = 5±11/8

х1 = 2
х2= -3/4
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х²=15-2х
х²-15+2х=0
х²+2х-15=0
D=2²-4(1×(-15))=4+70=64=8²

х1,2 = -2±8/2

х1=3
х2=-5

Answer 2

Спасибо

Answer 3

4x^2 - 2x = 3x + 6

4x^2 - 5x - 6 = 0

D = 25 + 96 = 121

X1 = (5 - 11) / 8 = -0.75

X2= (5 + 11) / 8 = 2

X^2 + 2X - 15 = 0

D = 4 + 60 = 64

X1 = (-2 - 8) / 2 = -5

X2 = (-2 + 8) / 2 = 3