How can I solve this problem about factorization in the IB math SL book?

[richardz03]

It is a problem found on IB math SL book:The two perpendicular sides of a right-angled triangle have lengths x+2 and 5x-3, the hypotenuse has length 4x+1, Find X.

In the answer section, it says X is either 2/5 or 3.

I tried a lot, -> i arrived to 10x^2 - 18x -12= 0
Later i used quadractic formula and imy result is totally different to the answers given by the book,. My process should be wrong. I would like to see someone do the complete process so i can notice my error. Please! Currently studying for IB exam

 

[Mark44]

It is a problem found on IB math SL book:The two perpendicular sides of a right-angled triangle have lengths x+2 and 5x-3, the hypotenuse has length 4x+1, Find X.

In the answer section, it says X is either 2/5 or 3.

I get the same answers.

I tried a lot, -> i arrived to 10x^2 - 18x -12= 0

Check your arithmetic. Your 2nd and 3rd terms are wrong.

Later i used quadractic formula and imy result is totally different to the answers given by the book,. My process should be wrong. I would like to see someone do the complete process so i can notice my error. Please! Currently studying for IB exam

No, we aren't going to work the problem for you -- that is against forum rules. Show the work you did to get your equation, and we'll point out where you went wrong, and steer you in the right direction.

 

[SammyS]

It is a problem found on IB math SL book:The two perpendicular sides of a right-angled triangle have lengths x+2 and 5x-3, the hypotenuse has length 4x+1, Find X.

In the answer section, it says X is either 2/5 or 3.

I tried a lot, -> i arrived to 10x^2 - 18x -12= 0
Later i used quadratic formula and my result is totally different to the answers given by the book,. My process should be wrong. I would like to see someone do the complete process so i can notice my error. Please! Currently studying for IB exam

It looks like you made a mistake in getting that quadratic equation.

Try your answers and the book's answers in the given length formulas.

 

[richardz03]

I get the same answers.
Check your arithmetic. Your 2nd and 3rd terms are wrong.

No, we aren't going to work the problem for you -- that is against forum rules. Show the work you did to get your equation, and we'll point out where you went wrong, and steer you in the right direction.

Didnt know that! thanks. At least you showed me the error. I will try again then

 

[richardz03]

Hmm looks like i got error in doing (4x+1)^2 and did wrong in operation. thanks everyone. No need to respond this thread anymore. It was 10x^2 -34x +12=0