Question

After splitting the middle term, which expression is obtained from \[ 6\sqrt{3}x^{2} + 7x - \sqrt{3} = 0 \]?

Options

• \[ 6\sqrt{3}x^{2} + 9x - 2x - \sqrt{3} = 0 \]

• \[ 6\sqrt{3}x^{2} - 9x - 2x - \sqrt{3} = 0 \]

• \[ 6\sqrt{3}x^{2} - 9x + 2x - \sqrt{3} = 0 \]

• \[ 6\sqrt{3}x^{2} + 9x + 2x - \sqrt{3} = 0 \]

Answer 1

The middle term \( 7x \) is split using 9 and -2, giving \[ 6\sqrt{3}x^{2} + 9x - 2x - \sqrt{3} = 0 \]. Note that \( 9x - 2x = 7x \), so the equation is unchanged.