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CBSE Class 11-science Answered

complete solution set of the equation |x^2-3|+|2-x|=|x^2-x-1|
Asked by rajshekhara348 | 20 Jun, 2022, 23:23: PM
answered-by-expert Expert Answer
open vertical bar straight x squared minus 3 close vertical bar plus open vertical bar 2 minus straight x close vertical bar equals open vertical bar straight x squared minus straight x minus 1 close vertical bar rightwards double arrow open vertical bar open parentheses straight x minus square root of 3 close parentheses open parentheses straight x plus square root of 3 close parentheses close vertical bar plus open vertical bar 2 minus straight x close vertical bar equals open vertical bar open parentheses straight x minus fraction numerator 1 plus square root of 5 over denominator 2 end fraction close parentheses open parentheses straight x minus fraction numerator 1 minus square root of 5 over denominator 2 end fraction close parentheses close vertical bar When space straight x greater than 2 greater than square root of 3 rightwards double arrow open parentheses straight x minus square root of 3 close parentheses open parentheses straight x plus square root of 3 close parentheses minus left parenthesis 2 minus straight x right parenthesis equals open parentheses straight x minus fraction numerator 1 plus square root of 5 over denominator 2 end fraction close parentheses open parentheses straight x minus fraction numerator 1 minus square root of 5 over denominator 2 end fraction close parentheses rightwards double arrow straight x squared minus 3 minus 2 plus straight x equals straight x squared minus straight x minus 1 rightwards double arrow negative 4 equals negative 2 straight x rightwards double arrow straight x equals 2 Similarly comma space solve space for space straight x less than 2 comma space straight x less than square root of 3 space and space straight x less than fraction numerator 1 plus square root of 5 over denominator 2 end fraction
Answered by Renu Varma | 21 Jun, 2022, 11:13: AM

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CBSE 11-science - Maths
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complete solution set of the equation |x^2-3|+|2-x|=|x^2-x-1|
Asked by rajshekhara348 | 20 Jun, 2022, 23:23: PM
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