Q. 21

Asked by Rayeesa | 10th Apr, 2018, 07:26: AM

Expert Answer:

begin mathsize 16px style square root of 2 straight x squared minus 9 straight x plus 25 end root minus square root of 2 straight x squared minus 9 straight x plus 13 end root equals 2
Let space 2 straight x squared minus 9 straight x plus 13 equals straight m
square root of 2 straight x squared minus 9 straight x plus 13 plus 12 end root minus square root of 2 straight x squared minus 9 straight x plus 13 end root equals 2
square root of straight m plus 12 end root minus square root of straight m equals 2
squaring space on space both space sides
straight m plus 12 plus straight m minus 2 square root of straight m plus 12 end root square root of straight m equals 4
2 straight m plus 12 minus 4 equals 2 square root of straight m plus 12 end root square root of straight m
2 straight m plus 8 equals 2 square root of straight m plus 12 end root square root of straight m
straight m plus 4 equals square root of straight m plus 12 end root square root of straight m
squaring space on space both space sides space and space solving space further space we space get space straight m equals 4
rightwards double arrow 2 straight x squared minus 9 straight x plus 13 equals 4
rightwards double arrow 2 straight x squared minus 9 straight x plus 9 equals 0
Solving space this space we space get space straight x equals 3 space or space straight x equals 3 over 2

end style

Answered by Sneha shidid | 10th Apr, 2018, 09:35: AM