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If a+b=10 and ab=16 find the …

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If a+b=10 and ab=16 find the value of a²-ab+b²
  • 5 answers

Garvit Varshney 2 months, 2 weeks ago

52

Mannat Setia 2 months, 2 weeks ago

52

Pristi Bansal 2 months, 2 weeks ago

I think 82 is the correct answer

Md Taneem Farhad 2 months, 2 weeks ago

a+b=10 and ab=16 ⇨(a+b)^2= 100 ⇨a^2+2ab+b^2=100------(i) ⇨ab=16 ⇨-3ab=(-48)---(ii) ⇨a^2+2ab+b^2=100 ⇨a^2+2ab+b^2-3ab=100-48 ⇨a^2-ab+b^2=52 .... ----------ANOTHER ------------ ⇨a+b=10 ⇨(a+b)^3=1000 ⇨a^3+b^3+3ab(a+b)=1000 ⇨a^3+b^3+3×16×10=1000 ⇨(a+b)(a^2-ab+b^2)=1000-480 ⇨10×(a^2-ab+b^2)=520 ⇨a^2-ab+b^2=520/10=52

Lovely Kumari 2 months, 2 weeks ago

6 ans
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