Equation + square - practice problems - last page
Number of problems found: 414
- 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 - Quadratic equation
Determine the numbers b and c that the numbers x1 = -7 and x2 = 5 were roots of the quadratic equation: -3x ² + b x + c = 0 - Special cube
Calculate the cube's edge if its surface and volume are numerically equal numbers.
- Proof I
When added to the product of two consecutive integers larger one, we get the square larger one. Is this true or not? - Rectangle SS
The perimeter of a rectangle is 268 cm, and its diagonal is 99.3 cm. Determine the dimensions of the rectangle. - Quadratic equation
Quadratic equation 7x²+bx+c=0 has roots x1 = 67 and x2 = -84. Calculate the coefficients b and c. - Right triangle
The legs of the 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. - Tangents
To circle with a radius of 41 cm from the point R guided two tangents. The distance of both points of contact is 16 cm. Calculate the distance from point R and circle center.
- Trapezoid
Calculate the area of trapezoid ABCD with sides |AB|= 82 cm, |BC|=60 cm, |CD|=19 cm, |AD|=39 cm.. - Quadratic equation
Solve a quadratic equation: 2x²+28x-550=0 - Reconstruction of the corridor
Calculate how many minutes will be reduced to travel a 167 km long railway corridor, where the maximum speed increases from 120 km/h to 160 km/h. Calculate how many minutes will shorten travel time if we consider that the train must stop at 6 stations. Ea - Bomber
Bomber flies 10 km at 600 km/h. At what horizontal distance from the target must the pilot drop the bomb to hit the target? Don't care about air resistance and consider the gravitational acceleration g=9.81 m/s². - Trolleybus
Trolleybus line No. 206 measured 24 km. If the trolley bus goes faster by 5 km/h, the way there and back would be shorter by 33 minutes. Calculate the trolley bus speed and the time it takes for a return trip.
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