# Equation + third power - math problems

#### Number of problems found: 63

• One third power Which equation justifies why ten to the one-third power equals the cube root of ten?
• Powers 3 2 to the power of n divided by 4 to the power of -3 equal 4. What is the vaule of n?
• Unknown number 7 Calculate unknown number whose 12th power when divided by the 9th power get a number 27 times greater than the unknown number. Determine the unknown number. Quadratic equation ? has roots x1 = -26 and x2 = -86. Calculate the coefficients b and c.
• Derivative problem The sum of two numbers is 12. Find these numbers if: a) The sum of their third powers is minimal. b) The product of one with the cube of the other is maximal. c) Both are positive and the product of one with the other power of the other is maximal. Solve pure quadratic equation ?.
• EQ2 Solve quadratic equation: ?
• Parabola 3 Find the equation of a parabola with its focus at (0,2) and its vertex at the origin. ?
• Exponential equation Find x, if 625 ^ x = 5 The equation is exponential because the unknown is in the exponential power of 625
• Substitution method Solve goniometric equation: sin4 θ - 1/cos2 θ=cos2 θ - 2
• Root The root of the equation ? is (equal or greater or less than zero)? ? Write the equation of the quadratic function which includes points A (-1, 10), B (2, 19), C (1,4)
• Completing square Solve the quadratic equation: m2=4m+20 using completing the square method
• Primes 2 For what primes p,q,r is true: p2-(q+r)2=647
• Divide 8 Divide 6840 by x y and z, in such a way that x has twice as much as y, who has half as much as z
• Highway tunnel The highway tunnel was built from two ends in the north-south direction. The average daily performance of the "northern party" rasters was higher than the average daily power of the "southern party" of the rasters. After 55 business days, both parties met
• Find x 2 Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100. Write down the number of solutions.
• Variations 3rd class From how many elements we can create 13,800 variations 3rd class without repeating?
• Special cube Calculate the edge of cube, if its surface and its volume is numerically equal number.
• Seven tractors Seven tractor plowed 308 ha field in four days. How many hectares of fields will plowe 9 tractors in 3 days at the same power?

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