Math, asked by dvuartgia, 10 months ago

check whether the following are quadratic equation or not 1) (x–2)ka whole square+1=2x–3​

Answers

Answered by Anonymous
9

 \large\bf\underline{Given:-}

  • (x-2)² +1 = 2x -3

 \large\bf\underline {To \: find:-}

  • whether the following are quadratic equation or not

 \huge\bf\underline{Solution:-}

Given equation :-( x - 2)² + 1 = 2x - 3

 \rm \longmapsto \: (x - 2 {)}^{2} + 1 = 2x - 3 \\  \\   \rm  \: using \:identity \: (a - b {)}^{2}  =  {a}^{2}  +  {b}^{2}  - 2ab \\  \\  \rm \longmapsto \:  {x}^{2}  + 4 - 4x + 1 = 2x - 3 \\  \\  \rm \longmapsto \:  {x}^{2}  - 4x + 5 = 2x - 3 \\  \\  \rm \longmapsto \:  {x}^{2}  - 4x - 2x + 5 + 3 = 0 \\  \\  \rm \longmapsto \:  {x}^{2}  - 6x + 8 = 0 \\  \\  \rm  \: so \: the \: equation \: is \: in \: the \: form \: of :  -  \\  \rm  \:  {ax}^{2}  + bx + c = 0 \\

where ,

  • a = 1
  • b = -6
  • c = 8

And the degree of the equation is 2 .

So the given equation is a quadratic equation.

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