Question
If, ( a + b = 20 ) and ( a² + b² = 208 ), then find
the value of (a³ + b³).Solution
( a + b = 20 )
( (a + b)² = 20² )
( a² + b² + 2ab = 400 )
( 208 + 2ab = 400 )
( 2ab = 192 ab = 96 )
(a³ + b³ = (a + b)(a² + b² - ab)) = 20 (208 - 96) = 20 * 112 = 2240)
The mean age of 30 students was calculated as 15 years. However, it was later discovered that one student's age was mistakenly entered as 15 years inste...
If ab + bc + ca = 0
Find the value of 1/(a2 - bc) + 1/(b2 - ca) + 1/(c2 - ab)
- If x² - 2x + 1 = 0, then find the value of (x⁴ + x⁻⁴)(x + x⁻¹).
If a 2 + b 2 + c 2 = 40 & ab + bc + ca = 12 then a + b+ c = ?
If x = 99, then the value of x5 - 100x4 + 100x3 - 100x2 + 100x - 1 is
(288 ÷ 8)² × (144 ÷ 24)³ = 24 × ? × (51840 ÷ 20)
What is the HCF of (x³ + 3x² - x - 3) and (x³ + 4x² + x - 6)?
Suppose xy = -15 and (x² + y²) = 34, then determine the value of (x – y).
If a+1/a =9, then a5+1/a5 is equal to:
Relevant for Exams:
