If (a - b) = 0.9 and ab = 0.36 find the value of a +b and a square minus b square.
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Answer:
a^2+b^2=1.53
a+b=17
Step-by-step explanation:
squaring on (a-b)^2
=a^2-2ab+b^2
(0.9)^2=a^2-2×0.36+b^2
0.81=a^2-0.72+b^2
0.81+0.72=a^2+b^2
1.53=a^2+b^2
1.53=(a+b) (a-b)
1.53=(a+b)×0.9
1.53÷0.9=(a+b)
a+b=17
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