If a^3+b^3=152 and ab=15 then what is value of a^2+b^2
Answers
Answer:
a² + b² = 34
Step-by-step explanation:
a³+b³= 152 and ab = 15
We know that, (a+b)³= a³ + b³ + 3ab(a+b)
(a+b)³= 152 + 3×15(a+b)
Let (a+b) = x
So, x³= 152 + 45x
x³ - 45x = 152
x × (x²- 45) = 8 × 19
Let x = 8 and x²- 45 = 19
So, 8²- 45 = 19
64 - 45 = 19
19 = 19 (Approved)
So, a+b = x = 8
On squaring both sides
(a+b)² = 8²
a² + b² + 2ab = 64 ............(1)
Put ab = 15 in eq. (1)
a² + b² + 2×15 = 64
a² + b² + 30 = 64
a² + b² = 64 - 30
a² + b² = 34
Answer:
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Step-by-step explanation:
Online learning is one of the imminent trends in the education sector around the globe. This mode of learning is done through the internet. With advanced and upgraded technologies, this mode of learning has been made simpler. Online Education is also preferred in higher learning Institutions. This article will render the students about online education, its outcomes, and advantage in short and long essays on Online Education.