x4 + x - 4 = 47 x4 + 1/x 4 = 47 Add 2 both sides x4 + 1/x 4 + 2 = 49 The above expression is of the form a2 + b2 + 2ab = (a + b)2 where a = x and b = 1/x Then the above expression becomes (x2 + 1/x2)2 =72 Taking square root on both sides (x2 + 1/x2) = 7 Again adding 2 both sides (x2 + 1/x2 + 2) = 9 (x + 1/x)2 = 32 Taking square root on both sides (x + 1/x) = 3
Divakar spends 30% of his salary on house rent, 20% of the remaining amount on shopping, 25% of the remaining on education fees, and the rest is divided...
The salaries of X, Y, and Z are in the ratio 4:3:5. If X’s salary is reduced by 25%, Y’s salary is increased by 33.33%, and Z’s salary is increase...
A student gets an aggregate of 60% marks in five subjects in the ratio 10 : 9 : 8 : 7 : 6. If the passing marks are 45% of the maximum marks and each s...
In an examination the percentage of students qualified with respect to the number of students appeared from school A is 75%. The number of students appe...
A gets 34% of the full marks in an exam and fails by 80 marks. B gets 36% of the full marks in the same exam and he also fails by 64 marks. What is the ...
A person spends 25% of his income on rent, 20% on food, 15% on transportation, and 10% on education. Additionally, he donates ₹3,000 and still manages...
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Two students appeared in an exam and one secured 10 marks more than the other. If marks of student who got more marks is 52% of the sum of the marks of ...
In an election contested between two candidates, 75% of the total voters in the city participated in voting, out of which 20% of ...
The number of boys and girls in a school is 220 and 300 respectively. 15% of boys left the school while 30 girls took admission in the school. Find the ...
