Question

Check whether the following
are quadratic equations: (i) .
(2x + 3) = x2 +1 (ii)
(x + 2) = x3 -4.pl help ​

Answer 1

Step-by-step explanation: (i) 2x + 3 =$x^{2}$  + 1

                                                  - $x^{2}$ + 2x + 2 = 0   or    $x^{2}$ - 2x -2 = 0

therefor it is a quadratic equation

(ii)  x + 2 = $x^{3}$ - 4

    -$x^{3}$  + x + 6=0   or     $x^{3}$ - x - 6 = 0

therefore it is not a quadratic equation

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Answer 2

Answer:

(i) (x+1)

2

=2(x−3)

(ii) x

2

−2x=(−2)(3−x)

(iii) (x−2)(x+1)=(x−1)(x+3)

(iv) (x−3)(2x+1)=x(x+5)

(v) (2x−1)(x−3)=(x+5)(x−1)

(vi) x

2

+3x+1=(x−2)

2

(vii) (x+2)

3

=2x(x

2

−1)

Step-by-step explanation:

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