Exponentiation + quadratic equation - practice problems
Number of problems found: 24
- Finite geometric sequence
Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 18, an = 13122, sn = 19674, n =? q =? - Equation 46771
Insert three numbers between the roots of the equation 4x² - 17x + 4 = 0 so that they form with the given GP numbers - Calculate 25111
The quadratic function has the formula y = -2x²-3x + 8. Calculate the function value in points 5, -2, and ½. - A rectangle 2
A rectangle has a diagonal length of 74cm. Its side lengths are in a ratio of 5:3. Find its side lengths. - Before yesterday
The merchant adds a sale sign in his shop window to the shown pair of shoes in the morning: "Today by p% cheaper than yesterday. " After a while, however, he decided that the sign saying: "Today 62.5% cheaper than the day before yesterday". Determine the - Three members GP
The sum of three numbers in GP (geometric progression) is 21, and the sum of their squares is 189. Find the numbers. - Eq2 2
Solve the following equation with quadratic members and rational function: (x²+1)/(x-4) + (x²-1)/(x+3) = 23 - Substitution method
Solve a goniometric equation: sin4 θ - 1/cos² θ=cos² θ - 2 - Solve: 6632
For n ϵ N solve: 100 = (0.01n)² - Determine 4104
Determine the value of x in this equation: (0.125^x) · 104 = 5000 - Determine 3876
Determine the second term and the quotient GP if a3 = 48.6 a1 + a2 = 6 - Exponential 3858
Determine m (solve the exponential equation - unknown in the exponent): 0.25 μm = 0.5 - Four-thirds 3852
Anton said: I have a natural number x. I'll get three times as much if I increase it to four-thirds. What number did Anton mean? - Natural 3838
Find a natural number whose square root is 27 times its square root. - Determine 3779
Determine the perimeter of the rectangle if its length and width are 2:1 and the area is 98 cm². - Unknown number 7
Calculate an unknown number whose 12th power, when divided by the 9th power, gets a number 27 times greater than the unknown number. Determine the unknown number. - Specify 3347
We have a number. If we divide its fourth power by its square, we get the number 0.25. Find this number. - Positive 3298
Which positive number equals twice its square? - 3d vector component
The vector u = (3.9, u3), and the length of the vector u is 12. What is, is u3? - Sum-log
The sum of two numbers is 32, and the sum of their logarithms (base 10) is 2.2. Determine these numbers.
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