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Originally posted in a technical math section

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

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

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