Question

CXERCISE - 5.1
1.
Check whether the following are quadratic equations :
i (x + 1)2 = 2(x – 3)
ii. x2 – 2x = (-2) (3 – x)​

Answer 1

Answer:

$(x + 1)2 = 2(x - 3) \\ \\ x2 + 1 + 2x = 2x - 6 \\ \\ x2 + 1 + 2x - 2x + 6 = 0 \\ \\ x2 + 7 = 0 \\ \\ it \: is \: a \: quadratic \: equation.$

$it \: is \: a \: quadratic \: equation$

$x2 - 2x = ( - 2)(3 - x) \\ \\ x2 - 2x = - 6 + 2x \\ \\ x2 - 2x - 2x + 6 = 0 \\ \\ x2 - 4x + 6 = 0 \\ \\ it \: is \: a \: quadratic \: equation$

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