find the square roots of (x-4)²=169
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(x-4)^2=169
x^2- 2(4)(x)+4^2=169
x^2-8x+16=169
x^2-8x=153
now by splitting the middle term
x^2-8x-153=0
x^2-17x+9x-153=0
x(x-17)+9(x-17)=0
(x-17)(x+9)=0
therefore roots are
x=17 & x=-9
x^2- 2(4)(x)+4^2=169
x^2-8x+16=169
x^2-8x=153
now by splitting the middle term
x^2-8x-153=0
x^2-17x+9x-153=0
x(x-17)+9(x-17)=0
(x-17)(x+9)=0
therefore roots are
x=17 & x=-9
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