##impmaths10thmaharashtra
- Solve the quadratic equation : x2 + 3x - 9 = 0 for x. Solution: x = −b ± √(b² − 4ac)/2a x = -3 ± √[(3² − 4.1(-9)]/2.1 x = -3 ± √(45)/2 1
- A and B each have certain number of oranges. A says to B, "if you give me 10 of your oranges, I will have twice the number of oranges left with you. Answer: A has 70 oranges and B has 50 oranges. Let A have x oranges and B have y oranges. First condition: If B gives 10 oranges to A, A wil... 2
- On the first day of the sale of tickets of a drama, in all 35 tickets were sold. If the rates tickets Answer: 25 tickets of Rs 20 and 10 tickets of Rs 40 were sold. Let the number of Rs 20 tickets be x and the number of Rs 40 tickets be y. To... 2
- Solve the following simultaneous equations by using Cramers’s rule: 3x-y =7, x +4y =11 Answer: x = 3, y = 2 3x - y = 7 .....(1) x + 4y = 11 .....(2) Comparing with a₁x + b₁y = c₁ and a₂x + b₂y = c₂: a₁ = 3, b₁ = -1, c₁ = 7; a₂... 2
- Solve the following quadratic equation for x: `4x^2 + 4bx – (a^2 – b^2) = 0 Answer: x = (a - b)/2 or x = -(a + b)/2 4x² + 4bx - (a² - b²) = 0 4x² + 4bx - a² + b² = 0 Group the terms in x with b² to make a perfect squ... 2