Question

Resolva equação do segundo grau.
A) x2+6x=5+3x
B) (2x-3)(X+4)-8x=10
C) (x-4)2 = 2x(1-x)

Answer 1

A)x^2+6x=5+3x
x^2+6x-3x-5=0
x^2+3x-5=0
a=1. b=3. c=-5
delta=b^2-4ac
delta=(3)^2-4(1)(-5)
delta=9-4(-5)
delta=9+20
delta=29
x=-3+,-\/29/2(1)
x=-3+,-5,38/2
x1=-3+5,38/2》x1=2,38/2》x1=1,19
x2=-3-5,38/2》x2=-8,38/2》x2=-4,19

(2x-3)(x+4)-8x=10
2x^2+8x-3x+4-8x=10(8x-8x=0)
2x^2-3x+4-10=0
2x^2-3x-6=0
a=2. b=-3. c=-6
delta=b^2-4ac
delta=(-3)^2-4(2)(-6)
delta=9-8(-6)
delta=9+48
delta=57
x=-(-3)+,-\/57/2(2)
x=3+,-7,54/4
x1=3+7,54/4》x1=10,54/4》x1=2,64
x2=3-7,54/4》x2=-4,54/4》x2=-1,14

(x-4)2=2x(1-x)
2x-8=2x-2x^2
2x^2+2x-2x-8=0
2x^2-8=0
2x^2=8
x^2=8/2
x^2=4
x=+,-\/4
x=+,- 2