Equations practice problems - page 248 of 251
Number of problems found: 5001
- Sequence
Calculate what member of the sequence specified by (5n-2+15) has value 20. - Pumps
A tank is filled by two pumps working together in 23 minutes. The first pump alone fills the tank 37 minutes faster than the second pump alone. How long does it take the first pump to fill the tank on its own? - Diofant 2
Is equation 1140x +876y = 48 solvable on the set of integers Z? - Diofant equation In the set of integers (Z), solve the equation: 212x +316y =0 Write result with integer parameter t in Z (parameter t = ...-2,-1,0,1,2,3... if equation has infinitely many solutions)
- Roots
Find the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: 5x ² +9x + q = 0 - Biquadratic
By introducing a new variable, solve the biquadratic equation: - x 4 +277 x² -15876=0 - Euler problem
Someone buys a number of towels for a total of 720 tolars. If for the same amount of money they could buy 6 more towels, each towel would be 6 tolars cheaper. How many towels were originally bought? - Rectangular field
One dimension of a rectangular field is 168 m greater than the other. When each side is increased by 9 m, the area of the field becomes 2187 m². Find the dimensions of the field. - Determine the number
Determine the number x that x+8 is (7)/(5) from one half of 7 x -1. - Quadratic equation Determine the numbers b and c that the numbers x1 = -8 and x2 = -1 were roots of the quadratic equation: -3x ² + b x + c = 0
- Special cube
Find the edge length of a cube whose surface area and volume are numerically equal. - Proof I
When the larger of two consecutive integers is added to the product of those two integers, the result is the square of the larger integer. Is this true? - Exponential equation
In the set R, solve the equation: 7 -5 +19x=4 3 -20x - Guess number
With what number should be divided, number 10387 to be reduced by 30%? - Secret number
Find the secret number n, which reversed decreases by 15.4 if the number increases by 15.4. - Rectangle SS
The perimeter of a rectangle is 154 dm and its diagonal is 62.36 dm. Find the dimensions of the rectangle. - Tourist
Tourists walk at 4.2 km/h. They take a 10-minute break every 6 km. How many kilometres did they walk if they started at 4:40 and finished at 21:40? - Seedcake
Seedcake costs 20 cents. How many minimum seedcakes must we buy that we can pay in cash, only whole euros? - Heron backlaw
Calculate the length of the unknown side of a triangle with sides 39 and 38 and area 438.6. - Quadratic equation
Quadratic equation -4x²+bx+c=0 has roots x1 = 88 and x2 = -10. Calculate the coefficients b and c.
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