Solving Quadratic Equations Involving Fractions WORKSHEET

This worksheet focuses on solving quadratic equations that involve fractions. The initial problems require multiplying by x to clear the denominator, leading to a standard quadratic form. The progression continues with equations which introduce a numerical denominator, necessitating multiplication by both x and the constant to clear fractions. Further on, problems involve a quadratic term in the denominator, requiring multiplication by x² to eliminate fractions. The difficulty escalates when binomial expressions are present, demanding subsequent expansion and rearrangement to form the quadratic equation. The final questions present more complex fractional expressions, leading to more intricate algebraic manipulations to achieve the standard quadratic form. All but one of the twelve equations can be solved by factorising into double brackets after the manipulation. For the final question, we have used the quadratic formula in order to find the values of x.