Solve a quadratic then write in factored form

The video tutorial explains how to solve an equation involving a negative square root. It begins by setting up the equation and identifying the problem of taking the square root of a negative number. The instructor then demonstrates how to handle this by introducing complex numbers, specifically the imaginary unit 'i'. The expression is simplified using radicals, and the final solution is presented in factored form, highlighting the use of complex roots.

What is the initial problem encountered when solving the equation X^2 = -18?

• The square root of a negative number is undefined in real numbers.

• The equation is already solved.

• The equation is not quadratic.

• The equation has no solution.

How can the negative sign under the square root be interpreted?

• As an imaginary unit.

• As a fraction.

• As a positive number.

• As zero.

What is the value of the square root of -1?

• 0

• i

• -1

• 1

What is the simplified form of the expression X = ±√(-1 * 9 * 2)?

• X = ±√18

• X = ±9i

• X = ±3i√2

• X = ±3√2

What is the final form of the solution after factoring?

• X = ±9i

• X = ±3√2

• X = ±3i√2

• X = ±√18