Finding the solutions by completing the square by factoring out a number

The video tutorial explains how to solve a quadratic equation by completing the square. It begins with grouping terms and factoring, then moves on to completing the square by dividing the middle term, squaring it, and adjusting the equation accordingly. The tutorial continues with simplifying the expression and solving the equation, emphasizing the importance of understanding each step. The final solution is presented with a detailed explanation, ensuring clarity in the process.

What is the first step in solving a quadratic equation by factoring?

• Divide the equation by the leading coefficient

• Multiply all terms by two

• Group the first two terms

• Add a constant to both sides

When completing the square, what do you do with the middle term?

• Multiply it by two

• Add it to the constant term

• Divide it by two and square it

• Subtract it from the constant term

How do you handle a fraction when solving a quadratic equation?

• Multiply by the reciprocal

• Subtract the fraction from both sides

• Divide by the fraction

• Add the fraction to both sides

What is the result of taking the square root of both sides of an equation?

• You get two possible solutions

• The equation becomes quadratic

• The equation is solved

• The equation becomes linear

What is the final form of the solution to the quadratic equation in the video?

• X = 5 ± sqrt(15)

• X = 5 halves ± sqrt(15) / 2

• X = 5 halves ± sqrt(15)

• X = 5 ± sqrt(15) / 2