# Quadratic equation + exponentiation - practice problems

#### Number of problems found: 13

- Finite geometric sequence

Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 18, an = 13122, sn = 19674, n =?, q =? - A rectangle 2

A rectangle has a diagonal length of 74cm. Its side lengths are in ratio 5:3. Find its side lengths. - Before yesterday

He merchant adds a sale sign in his shop window to the showed 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 following equation with quadratic members and rational function: (x^{2}+1)/(x-4) + (x^{2}-1)/(x+3) = 23 - Substitution method

Solve goniometric equation: sin^{4}θ - 1/cos² θ=cos² θ - 2 - 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. - 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, the sum of their logarithms (base 10) is 2.2. Determine these numbers. - Rectangular cuboid

The rectangular cuboid has a surface area 5334 cm^{2}, and its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid. - Pool

If water flows into the pool by two inlets, fill the whole for 19 hours. The first inlet filled pool 5 hour longer than the second. How long pool take to fill with two inlets separately? - Biquadratic

By introducing a new variable solve biquadratic equation: - x^{4}+277 x² -15876=0 - Rectangle

Area of rectangle is 3002. Its length is 41 larger than the width. What are the dimensions of the rectangle?

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Looking for help with calculating roots of a quadratic equation? Quadratic Equations Problems. Exponentiation - practice problems.