SOLUTION: 29=3(5r+1)2r

Question 719495: 29=3(5r+1)2r
Answer by tommyt3rd(5050) (Show Source): You can put this solution on YOUR website!
since 29 is prime, there is no rational number r to make this equation true. So we invoke the quadratic solver:

a=30, b=6, c=-29

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=3516 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.888264472024906, -1.08826447202491. Here's your graph:

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