NSEJS - quadratic equation

time and work

two pipes running together can fill up a cistern in 40/13 mins. If one pipe takes 3 mins more than the other to fill the cistern, find the time in which each time would fill the cistern?

distance and speed

Two trains leave the railway station at the same time. One train is travelling due north and the other due east. The first train is 5 km/hr faster than the second train. If after 2 hours, the trains are 50 km apart, what is the speed of each train?

circle

The sum of the areas of two circles is 116π cm2 (refer diagram below). the centre of the circles is 6 cm apart. find the radius of the circles.

quadratic equation

in a positive fraction, the denominator is greater than the numerator by 3. If 1 is subtracted from both the numerator and denominator, the fraction is decreased by 1/14. Find the fraction.

quadratic equation

If a, b, c, are ɛ of {1, 2, 3, 4}, how many real roots are possible for 4ax² + 2bx + c = 0

IMO STD X

quadratic equation

    

disguised quadratics

   

disguised quadratics

Solve for x: 4^x + 6^x = 9^x

quadratic equation

 

Quadratic equation

Solve the equation

2^2x – 2^x – 6 = 0

Quadratic Equation

Solve for X:

  

Quadratic equation

Solve for x:

x²/3 + 3/ x² = 5(x/3 – 1/x)

polynomial

Solve for x:

(a + x)^2/3  + 4(a – x)^2/3 = 5(a² – x²)^1/3

Polynomial

Solve for x:

(x – 4)³ + (x – 5)³ = 31{(x – 4)² - (x – 5)²}

reciprocal equations

Solve for x:
12(x⁴ + 1)  + 89x² = 56x(x² + 1)

Quadratic equation

if one of the roots of the equation is 2 + √3. Form the quadratic equation?

quadratic equation

Solve for x:



  

quadratic equation

Solve for x:

6x^3/4 =  7x^1/4 - 2 x^-1/4

quadratic equation

Solve for x:

4^x - 9.2^x + 8 = 0