Question
Solve the equation:- x² − 9x + 20 = 0, What is
the larger root?Solution
ATQ, x² − 9x + 20 = 0 Factorize: We need two numbers whose product is 20 and sum is 9 → 5 and 4 So x² − 9x + 20 = x² − 5x − 4x + 20 = x(x − 5) − 4(x − 5) = (x − 5)(x − 4) = 0 Thus x = 5 or x = 4 Larger root = 5
I. x2 - 20x + 96 = 0
II. y2 - 23y + 22 = 0
 If 4x = 40, 3y = 33, what is the value of 6x + 4y?
I. 5x² = 19x – 12
II. 5y² + 11y = 12
I. 63x2 + 148x + 77 = 0
II. 21y2 + 89y + 88 = 0
I. x2 - 5x - 14 = 0
II. y2 - 16y + 64 = 0
I. x2 + 11x + 30 = 0
II. y2 + 17y + 72 = 0
I. 2x2 + 12x + 18 = 0
II. 3y2 + 13y + 12 = 0
l). 2p² + 12p + 18 = 0Â
ll). 3q² + 13q + 12 = 0
Quantity I: The price of rice is decreased by 30%, by how much % the consumption is increase so that the expenditure will decreased by 10%?
Quant...
I. 22x² - 97x + 105 = 0
II. 35y² - 61y + 24 = 0