Question
Solve for x: (2x β 1)/3 β (x β 4)/2 =
3Solution
ATQ, (2x β 1)/3 β (x β 4)/2 = 3 LCM(3,2) = 6 [2(2x β 1) β 3(x β 4)] / 6 = 3 2(2x β 1) = 4x β 2 3(x β 4) = 3x β 12 Numerator = (4x β 2) β (3x β 12) = 4x β 2 β 3x + 12 = x + 10 So (x + 10)/6 = 3 x + 10 = 18 x = 8
I. xΒ²= 961Β
II. y= β961
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 29xΒ² - 137x + 108 = 0
Equation 2: 31yΒ² - 146y + ...
I. 2p2 - 3p – 2 = 0 II. 2q2 - 11q + 15 = 0
I.√(3x-17)+ x=15
II. y + 135/y=24
Equation 1: xΒ² - 200x + 9600 = 0
Equation 2: yΒ² - 190y + 9025 = 0
I. 5x2 β 7x β 6 =0
II. 2y2 β 5y β 7 =0
I. 35x² - 24x – 35 = 0
II. 72y² - 145y + 72 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: xΒ² - 40x + 375 = 0
Equation 2: yΒ² - 36y + 324 = 0
What is the speed of the stream if a ship takes 15 hours to travel 240 km in calm waters, given that the ratio of its speed against the current to its s...
I. 7xΒ² + 27x + 18 = 0
II. 19yΒ² - 27y + 8 = 0