The roots of $x_{2}−6x+10=0$ are $x_{1}$ and $x_{2}$. Find an equation whose roots are $x_{2}x_{1} $ and $x_{1}x_{2} $

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Mathrelay-2023 | Legal notices

0# Word problems

#01461

The roots of $x_{2}−6x+10=0$ are $x_{1}$ and $x_{2}$. Find an equation whose roots are $x_{2}x_{1} $ and $x_{1}x_{2} $

#01286

Find three consecutive odd numbers with a sum of 63

#01275

A ball is dropped from a 100 feet building. How far will it have traveled when it hits the ground for the 10th time? The ball loses 25% of its height after each bounce.

#01263

Bonny is five years younger than Roger and four times as old as Dana. If Dana is $d$ years old, how old is Roger in terms of $d$?

#01262

If $b$ is an integer that satisfies the inequality $4<b ≤8$ , what is the sum of the largest possible value of $b$ and the smallest possible value of $b$?

#01261

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#01258

A certain sample of bacteria triples in number every hour. If there were $8$ bacteria in the sample at the start of the experiment, how many bacteria were there after $6$ hours?

#01255

When four times the difference of a number $n$ and fifteen is divided by three, the result is twelve. What is the value of $n$?

#01254

A basketball team won $11$ more games than it lost. If the team played a total of $81$ games and there were no ties, how many games did the team lose?

#01253

If the remainder is $5$ when a positive integer $b$ is divided by 7, then what is the remainder when $9b$ is divided by $7$?