square The solution to 2x^2-11=87 IS 7 or -7 2+2i or 2-2i 12 or -2

To solve the equation \(2x^2 - 11 = 87\), follow these steps:<br /><br />1. **Isolate the quadratic term:**<br /> \[<br /> 2x^2 - 11 = 87<br /> \]<br /> Add 11 to both sides:<br /> \[<br /> 2x^2 = 98<br /> \]<br /><br />2. **Solve for \(x^2\):**<br /> Divide both sides by 2:<br /> \[<br /> x^2 = 49<br /> \]<br /><br />3. **Solve for \(x\):**<br /> Take the square root of both sides:<br /> \[<br /> x = \pm \sqrt{49}<br /> \]<br /> Simplify the square root:<br /> \[<br /> x = \pm 7<br /> \]<br /><br />So, the solutions to the equation \(2x^2 - 11 = 87\) are \(x = 7\) and \(x = -7\).<br /><br />Therefore, the correct answer is:<br />\[ \boxed{7 \text{ or } -7} \]