Question
A jar contains a mixture of milk and water in the ratio
4:3, respectively. If 4-litres of the mixture is taken out, then the quantity of water left in the mixture will be 39 litres. Find the original quantity of the mixture in the jar.Solution
Total quantity of mixture after removing 4-litres = 39 × (7/3) = 91 litres So, original quantity of the mixture = 91 + 4 = 95 litres
I. 6x² - 49x + 99 = 0
II. 5y² + 17y + 14 = 0
- Determine the value of m so that the equation x² + mx + 25 = 0 has equal and real roots.
I. 7x² + 52x + 21 = 0
II. 6y² + 7y - 24 = 0
If ‘y1’ and ‘y2’ are the roots of quadratic equation 5y2 – 25y + 15 = 0, then find the quadratic equation whose roots are ‘3y1�...
I. 2x² + 11x + 12 = 0
II. 2y² + 19y + 45 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 3x² + 6x - 9 = 0
Equation 2: 2y² - 16y + 32 = 0
I. 5x2 – 18x + 16 = 0
II. 3y2 – 35y - 52 = 0
If 3x – 2y = 10 and xy = 11, the value of 27x³ – 8y³ is __________.
The nth term of a sequence is n² + 3n + 1. Find the difference between the 20th and 10th terms.
If x^2 - 7x + k = 0 has roots that are equal, what is the value of k?
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