Question

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​

Answer 1

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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