Page 82 - Elementary Algebra Exercise Book I

ELEMENTARY ALGEBRA EXERCISE BOOK I equAtions

2 2
a b
(x + y) 2 =
c 2
2 2
a c
(x + z) 2 =
b 2
2 2
b c
(y + z) 2 =
a 2

⇒

ab
x + y = ± (iv)
c
ac
x + z = ± (v)
b
bc
y + z = ± (vi)
a
2 2
2 2
2 2
a b +a c −b c
[(iv) + (v) − (vi)]/2 ⇒ x = ± .
2abc
2 2
2 2
2 2
a b +b c −a c
[(iv) + (vi) − (v)]/2 ⇒ y = ± .
2abc
2 2
2 2
2 2
a c +b c −a b
[(v) + (vi) − (iv)]/2 ⇒ z = ± .
2abc

.

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