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Ratio of each piece of diamond = 4x : 3x : 2x ∴ Solid diamond = 4x + 3x + 2x = 9x ∴ Cost of solid diamond = (9x)³ = 729x³ Cost of broken diamond = (4x)² + (3x)² + (2x)² = 99x² ∴ Loss = 729 x³- 99x³ = 630x³ …..(i) Given, 729x³ = 29,160 ∴x³ = 29160/729 = 40 ∴ Loss = 630 × 40 = Rs. 25,200
I. 4x² - 15x + 9 = 0
II. 20y² - 23y + 6 = 0
If the roots of the quadratic equation 6m² + 7m + 8 = 0 are α and β, then what is the value of [(1/α) + (1/β)]?
I. 2x² + 15 x - 27 = 0
II. 3 y² + 25 y - 18 = 0
I. 15y2+ 26y + 8 = 0
II. 20x2+ 7x – 6 = 0
I. 2x2- 5x - 33 =0
II. 2y2+ 5y - 25 = 0
Quantity I: The cash price of a notebook is Rs. 100 but is can also be purchased on 11 monthly equal instalments of Rs. 10 each. Find rate of S.I.?
...I. 4x2 + 9x - 9 = 0
II. 4y2 - 19y + 12 = 0
I. x2 - 5x - 14 = 0
II. y2 - 16y + 64 = 0
What is the nature of the roots of the quadratic equation x² – 5x + 7 = 0 ?
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 29x + 210 = 0
Equation 2: y² - 27y + 182 = 0