Question

Solve the quadratic equation. 4x^2 - 30 = 0
A. ± √15
B. ± 15/√2
C. ± √15 /2
D. ± √30 /2

Answer 1

\[4x^{2} - 30 = 0\]\[4x^{2} = 30\]\[x^{2}=\frac{ 30 }{ 4 }\]\[x=\pm \sqrt{\frac{ 30 }{ 4 }}=\pm \sqrt{\frac{ 15 }{ 2 }}=\pm \frac{ \sqrt{15} }{ \sqrt{2} }\]

Answer 2

\(\pm\dfrac{\sqrt{30}}{2}\)

Answer 3

\[\pm \frac{ \sqrt{15} }{ \sqrt{2} }=\pm \frac{ \sqrt{30} }{ 2 }\]
However, the latter is not one of the answer choices.

Answer 4

Except for D.

Answer 5

Whoa, I must have been extremely tired yesterday. You are completely right.

Answer 6

No worries. The in-line notation is quite ambiguous. This is why I generally choose to code the LaTeX.