Question
If (a +
b) = 15 and (a2 + b2) = 113, then find the value of (a ×
b).
Solution
(a + b) = 15 Squaring on both sides, we get, a2 + b2 + 2ab = 225 Or, 113 + 2ab = 225 Or, 2ab = 225 – 113 = 112 Or, ab = 112/2 = 56
More Algebra Questions
- Question 1
- When 732 is divided by a positive integer x, the remainder is 12. How many values of x are there?
- (408 × 680)÷(20% of 680) = (250 × 260)÷ 10 + ? – 4500
- Determine the remainder when the polynomial 4x 3 - 5x 2 + 2x + 1 is divided by (4x - 3).
- If ( p = 60 - q - r ) and ( pq + r(q + p) = 1080), then find the value of ( p2 + q2 + r2).
- Solve for x: (2x − 1)/3 − (x − 4)/2 = 3
- Question 7
- If x2 – xy + y2 = 16 and x4 + x2y2 + y4 = 320 then find x2 + xy + y2 = ?
- The ratio of M to N is 4:9, and that of N to O is 3:2. If the difference between O and M is 60, what is the total of M, N, and O?
- `sqrt(sqrt(56-sqrt(56-sqrt(56)) ... prop)` = ?
Relevant for Exams:
