Roawiąż równanie.
(3x-2)^2=(2x+3)^2
(3x -2)^2 =(2x +3)^2
9x^2 -12x + 4 = 4x^2 +12x + 9
9x^2 - 4x^2 -12x -12x + 4 -9 = 0
5x^2 - 24x - 5 = 0
a = 5
b = -24
c = -5
D(delta) = b^2 - 4ac = (-24)^2 - 4 * 5 *(-24) = 676
VD = V676 = 26
x1 =(-b-VD)/2a =(24 - 26)/10 = -1/5
x2 =(-b+VD)/2a =(24 + 26)/10 = 5
x1 = -1/5 , x2 = 5
9x2-12x+4=4x2+12x+9
9x2-4x2-12x-12x+4-9=0
5x2-24x-5=0
a=5
b=-24
c=-5
delta=b2-4ac=576-4*5*(-5)=576+100=676
pierw.z delty=26
x1=-b-pierw.z delty/2a=-(-24)-26/2*5=-2/10=-1/5
x2=-b+pierw.z delty/2a=-(-24)+26/2*5=50/10=5
Odp:x1= -1/5, x2=5.
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(3x -2)^2 =(2x +3)^2
9x^2 -12x + 4 = 4x^2 +12x + 9
9x^2 - 4x^2 -12x -12x + 4 -9 = 0
5x^2 - 24x - 5 = 0
a = 5
b = -24
c = -5
D(delta) = b^2 - 4ac = (-24)^2 - 4 * 5 *(-24) = 676
VD = V676 = 26
x1 =(-b-VD)/2a =(24 - 26)/10 = -1/5
x2 =(-b+VD)/2a =(24 + 26)/10 = 5
x1 = -1/5 , x2 = 5
9x2-12x+4=4x2+12x+9
9x2-4x2-12x-12x+4-9=0
5x2-24x-5=0
a=5
b=-24
c=-5
delta=b2-4ac=576-4*5*(-5)=576+100=676
pierw.z delty=26
x1=-b-pierw.z delty/2a=-(-24)-26/2*5=-2/10=-1/5
x2=-b+pierw.z delty/2a=-(-24)+26/2*5=50/10=5
Odp:x1= -1/5, x2=5.