Quadratic Equations Problems - page 29 of 30
Number of problems found: 584
- Equation
Equation f(x) = 0 has roots x1 = 25, x2 = 64, x3 = 9. How many roots have equation f(x²) = 0? - Product
The product of two consecutive odd numbers is 1295. What are these numbers? - 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? - 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. - 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
- 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. - 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. - Right triangle
The legs of a right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle. - Golden ratio
Divide the line of length 871 cm into two sections so that the ratio of shorter to greater is the same as the ratio of the greater section to the whole length of the line. - Wind drift
A plane flies at 780 km/h airspeed. It covers a distance of 1200 km with the wind and then the same distance against the wind in a total of 3 h 5 min. What is the wind speed? - Tangents
From point R, two tangents are drawn to a circle with a radius of 41 cm. The distance between the two points of tangency is 16 cm. Calculate the distance from point R to the centre of the circle. - 2nd class combinations
From how many elements can you create 2346 combinations of the second class? - 2nd class variations
From how many elements can you create 5112 variations of the second class? - Rectangle
The area of a rectangle is 893. Its length is 28 more than its width. What are the dimensions of the rectangle? - Quadratic equation
Solve a quadratic equation: 2x²+28x-550=0
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