Grade 9Algebra
IF A+B =23 AND AB=102 FIND A2+B2 AND ALSO FIND ALL THE REAL VALUES OF A AND B
IF A+B =23 AND AB=102 FIND A2+B2 AND ALSO FIND ALL THE REAL VALUES OF A AND B
1 Answer
Aryan Maurya
a +b=23(A+b) ^2=a*a +b*b +2abA23*23=a*a+b*b+204529-204=a^2 +b^2=325( A-b)^2=a*a +b*b - 2ab(A-b)^2=325-204=121Square rooting both sides A-b=11 (i)A+b=23 (ii)Equation i +ii2a=34a=17B=6
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