Question
If the sum of the squares of the roots of p2
- (x-2)p - (x+1) = 0 is 5 then what is the value of x.Solution
Let the roots of equation be a and b. Given that, a2 + b2 = 5 We know that, (a+b )2 = a2 + b2 + 2ab Or, (a+b )2 – 2ab = a2 + b2 Sum of roots = -(-(x-2)), product of roots = -(x + 1) (x – 2)2 – 2 × 1 × – (x+1) = 5 Or, x2 + 4 – 4x + 2x + 2 = 5 Or, x2 – 2x + 1 = 0 Or, (p – 1)2 = 0 Or, p = 1
Determine the remainder when 4412Â is divided by 7?
What is the minimum value of X for which 437X6 is divisible by 9?
Find the quotient of 0.36 ÷ 0.48 (correct to three decimal places).
If '410x8' represents a five-digit number that is divisible by 7, determine the sum of all possible values of 'x'.
If 2557Â + 819Â is divisible by which of the following numbers.
 If a nine-digit number 89563x87y is divisible by 72, then the value of √ (8x -6y) will be ∶
The difference between two numbers is 3820. When a larger number is divided by a smaller number, the quotient and remainder are 32 and 7 respectively. F...
The greatest number that will divide 398, 437 and 5425 leaving 7, 12 and 2 as remainders, respectively, is:
A number when divided by 45 leaves a remainder 21. What will be the remainder when the square of the same number is divided by 45?
Relevant for Exams:
