Question

(x-2)²+1=2x-3 quadratic equation
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Answer 1

Answer:

(x-2)²+1=2x-3

x²-4x-4+1=2x-3

x²-4x-2x+5+1+3=0

x²-6x+8=0

yes this is a quadratic equation

Answer 2

Step-by-step explanation:

Given: ( x-2)²+1=2x-3

x²-2(x)(2) +4+1=2x-3

x²-4x+5=2x-3

while solving you'll get

:. p(x)= x²-6x+8

To find x put p(x)=0

x²-6x+8=0

x²-4x-2x+8=0

x(x-4)-2(x-4)=0

(x-2)(x-4)=0

so,

x-2=0 and x-4=0

:. x=2 &x=4