Math, asked by samyakbharilya1673, 11 months ago

√a+b=61
a+√b=61
Then find value of a and b

Answers

Answered by shruti555
1

Answer:

a=121,b=3600

Step-by-step explanation:

 \sqrt{a + b =}  61 \\ a + b \:  = \\ b =  3721 \\ a +  \sqrt{b \:  }  = 61 \\  \sqrt{b}  = 61 - a \\ b =    {(61 - a)}^{2}  \\ b = 3721 +  {a}^{2}  - 122a \\ now \: putting \: 3721 = a +b \\ b = a + b +  {a}^{2}  - 122a \\\  {a}^{2}  - 121a = 0 \\  {a }^{2}  = 121a \\ a = 121 \\ and \: b = 3721 - 121 = 3600

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