Solve each equation in Exercises 83–108 by the method of your cho...

Question

Solve each equation in Exercises 83–108 by the method of your choice.

2x^2 - 7x = 0

Accepted Answer

Hello today we're going to be solving the equation using any of our preferred methods. So the equation given to us is five X squared minus 13 X is equal to zero. Now we can go ahead and solve this algebraic lee because we can go ahead and factor out an X. On the left hand side of the equation, factoring out an X is going to give us x times the quantity five x minus 13 is equal to zero. And we can go ahead and apply our zero property to set both of these quantities equal to zero. Doing so is going to give us X is equal to zero, which is going to be our first solution. And we can go ahead and set five X minus 13 is equal to zero. And now we just need to go ahead and solve for X in this case. In order to solve for X. I'm gonna go ahead and add 13 to both sides of this equation. Doing so is going to give me five, X is equal to 13. And finally I just need to divide both sides of the equation by five and X is going to equal to 13/5, which is going to be my other solution. So in total we have two solutions for X. X is equal to zero and X is equal to 13/5. With that being said, the solution to this problem is going to be C. So I hope this video helps you in understanding how to solve this type of equation and I'll go ahead and see you all in the next video.

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