Question
Download Solution PDFThe third proportional to a3 + b3 and a2 + ab + b2, when a = 2 and b = 3, is:
(correct to 2 decimal places)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
a = 2
b = 3
Concept:
We need to find the third proportional to a3 + b3 and a2 + ab + b2.
Solution:
⇒ Substitute a and b into the two expressions to get the first and second numbers.
⇒ First number = a3 + b3 = 23 + 33 = 8 + 27 = 35
⇒ Second number = a2 + ab + b2 = 22 + 2*3 + 32 = 4 + 6 + 9 = 19
⇒ The third proportional (T) to two numbers (x and y) is given by the formula T = (y2)/x
So, substituting the first and second numbers:
⇒ T = (192)/35 = 10.31
Therefore, the third proportional to a3 + b3 and a2 + ab + b2, when a = 2 and b = 3, is approximately 10.31 (correct to two decimal places).
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