x^2-3/2x-3/4=04(x-3)^2=(2-x)^2

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x^2-3/2x-3/4=04(x-3)^2=(2-x)^2

x^2-3/2x-3/4=04(x-3)^2=(2-x)^2
x^2-3/2x-3/4=0
4(x-3)^2=(2-x)^2

x^2-3/2x-3/4=04(x-3)^2=(2-x)^2
x^2-3/2x-3/4=0
x^2-3/2x=3/4
x^2-3/2x+9/16=3/4+9/16
(x-3/4)^2=21/16
x-3/4=±(√21)/4
x1=(√21+3)/4
x2=(-√21+3)/4
4(x-3)^2=(2-x)^2
[2(x-3)]^2-(2-x)^2=0
(2x-6+2-x)(2x-6-2+x)=0
(x-4)(3x-8)=0
x1=4 x2=8/3

x^2-3/2x-3/4=0
4x^2-6x-3=0
x=[6±√(36+48)]/8
x=(3±√21)/4

4(x-3)^2=(2-x)^2
4(x-3)^2-(2-x)^2=0
(2x-6+2-x)(2x-6-2+x)=0
(x-4)(3x-8)=0
x=4,x=8/3

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