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  • What number bigger than zero has the property that if we add half of its value to it and take the square root of this sum, we get exactly half of it?

    • 2.   If the polynomial P(x) = x4 – kx3 +6x2 - x + 3 has the value 9 at x=2, then what is the value of k?


    3.    Solve the quadratic equation:
    x2+ 2x - 3 = 0

    4. Roots of quadratic function y=-3(x-7)(x+2) are:
     
    A. x=-7, x=-2
     B. x=7, x=2,      
    C. x=-7, x=2,
    D. x=7, x=-2
     

    5.   Segments |AB| and |CD| are parallel, triangle ABE is equilateral and |AB|=5 and |BD|=7. What is the perimeter of quadrilateral ACDB?


    6.    What is the area of ​​a circle with a radius of 3 cm?


    7.   Calculate: 
     
    Log63 + Log612



    8.  Find a number whose 2% is equal to 9.



    9.   The car cost €30,000. its price was reduced by 10%, and then the price after this reduction was again reduced by 10%. How much did the car cost after both discounts?



    10.     Calculate the values ​​of the other trigonometric functions of the obtuse angle alpha knowing that sin α=1/3.
     
     
     

     
     
     
     
     
     

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