Question

a=√7+√12, b=√7-2√12 then find a³+b³​

Answer 1

Answer:

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Step-by-step explanation:

Let a+b=x .

Then (a+b)2=a2+b2+2ab=x2

⟹2ab=x2–7 ……………….(1)

Also (a+b)3=a3+b3+3ab(a+b)=x3 .

⟹10+3ab(x)=x3 .

⟹10+3(x2–72)(x)=x3 .

or x3–21x+20=0 .

Solving we get a+b=x=1,4,−5 .

Now, we can find a and b for each corresponding value of x.

I hope this helps you...........,..