Question

solve x²-9/x²+5=-5/9​

Answer 1

Step-by-step explanation:

$(x {}^{2} - 9) \div (x {}^{2} + 5) = - 5 \div 9 \\ cross \: mutiple$

$9(x {}^{2} - 9) = - 5(x {}^{2} + 5) \\ 9x {}^{2} - 81 = - 5x {}^{2} - 25 \\ 9x {}^{2} + 5x {}^{2} - 25 + 81 \\ 14x {}^{2} = 56 \\ x {}^{2} = 56 \div 14$

$x {}^{2} = 4 \\ x = \sqrt{4 } \\ x = 2$