Quadratic Formula Extension: Solving Equations with Algebraic Fractions

The video tutorial covers solving algebraic fractions using the quadratic formula. It begins with an introduction to algebraic fractions and the quadratic formula, followed by a demonstration of cross multiplication to simplify equations. The tutorial then explains how to expand brackets and rearrange equations into standard form. Finally, it shows how to substitute values into the quadratic formula and calculate solutions, emphasizing the importance of performing calculations twice for accuracy.

What is the quadratic formula used for solving quadratic equations?

• x = (B ± sqrt(B^2 + 4AC)) / 2A

• x = (B ± sqrt(B^2 - 4AC)) / A

• x = (-B ± sqrt(B^2 + 4AC)) / A

• x = (-B ± sqrt(B^2 - 4AC)) / 2A

What is the first step in rearranging an algebraic fraction into a quadratic equation?

• Add a constant to both sides

• Cross-multiply to eliminate fractions

• Subtract a constant from both sides

• Divide both sides by a variable

When expanding the expression (2X + 1) * X, what is the resulting quadratic term?

• 2X

• 2X^2

• X^2

• 2X + 1

How do you eliminate the constant on the right side of the equation to set it to zero?

• Add the constant to both sides

• Multiply both sides by the constant

• Subtract the constant from both sides

• Divide both sides by the constant

What is the value of 'A' in the equation 2X^2 + X - 18 = 0?

• 2

• 1

• 0

• -18

What should you do after substituting values into the quadratic formula?

• Solve for X using addition only

• Calculate the square root and solve twice

• Multiply all terms by 2

• Divide all terms by the coefficient of X

What is the approximate value of the first solution to three decimal places?

• 2.760

• -3.260

• 3.260

• -2.760