Solve: \( -7 x^{2}+10=185 \) I'm not sure. \( x=3,-3 \) \( x=5,-5 \) \( x=3 \)

To solve the equation \( -7 x^{2}+10=185 \), we first need to isolate the \( x^2 \) term. Start by subtracting 10 from both sides: \[ -7 x^{2} = 185 - 10 \] \[ -7 x^{2} = 175 \] Next, divide both sides by -7: \[ x^{2} = -\frac{175}{7} = -25 \] Wait! It seems there's been a misunderstanding; let's go through that again. First, add 10 to both sides: \[ -7x^2 = 175 \implies x^2 = -25 \] Now we can see there are no real solutions here since the square of a number cannot be negative! So, if you put down \( x=3, -3 \) or \( x=5, -5 \), those were miscalculations; in fact, the solutions are imaginary: \( x = 5i \) and \( x = -5i \). Next time, it's always a great idea to double-check your arithmetic or even ask a friend for a “second opinion” when it comes to solving tricky equations!