1, Which of the following is not a quadratic equation.
a. (x-2)2 + 1=2x-3
b. x(x+1)+8=(x+2)(x-2)
C. X(2x+3)=x²+1
d. (x+2) = x 3-4
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Answer:
a. (x-2)^2 + 1=2x-3
=>(x)^2-2×x×2+(2)^2=2x-3
=>x^2-4x+4=2x-3
=>x^2-4x-2x+4+3
=>x^2-6x+7=0
it is a quadratic equation
b.x(x+1)+8=(x+2)(x-2)
=>x^2+x+8=x^2-2x+2x-4
=>x+8=(-4)
=>x=(-12)
it is not a quadratic equation
C. X(2x+3)=x²+1
=>2x^2+3x=x^2+1
=>x^2+3x-1=0
it is a quadratic equation
d. (x+2) = x( 3-4)
=>x+2=3x-4x
=>2x+2=0
=>2x=(-2)
=>x=(-2/2)
=>x=(-1)
it is not a quadratic equation
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