Question

(x+4)²+5²=13² solve the following equation​

Answer 1

It is given that

(

$({x}^ + 4){2} + {5}^{2} = {13}^{2}$

then we will apply the identity

${x}^{2} + 2 \times 4x + 25 = {13}^{2}$

x2+8x=169-25

x2+8x=144

x2+8x-144=0

Now after factorising we get

by quadratic formula ,

x=8.6...
and -16.64...