find the value of a-b when a+b =12 and ab=6
please give me answer
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find the value of a-b when a+b =12 and ab=6
please give me answer
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Verified answer
Answer:
[tex] \huge \pink{❀ꪖnswer❀}[/tex]
Explanation:
[tex]given \: \\ a + b = 12 \\ ab = 6 \\we \: know \: that \\ (a + b) {}^{2} = a {}^{2} + 2ab + b {}^{2} \\so \\ 12 {}^{2} = a {}^{2} + 2 \times 6 + b {}^{2} \\144 = a {}^{2} + 12 +b {}^{2} \\ a {}^{2} + b {}^{2} = 144 - 12 \\ = 132 \\ [/tex]
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Answer:
Formula
(a+b)
2
=a
2
+b
2
+2ab
=>a
2
+b
2
=(a+b)
2
−2ab
Given, a+b=5 and ab=6
So, a
2
+b
2
=(a+b)
2
−2ab=5
2
−2×6=25−12=13