Further Pure Mathematics 4PM1 / The Quadratic Function / 1.421.42: Relationships between roots4PM1/1/June/2018 — Question 2 · 7 marksMark as done · Save for laterThe equation 3x2−5x+4=03x^2-5x+4=03x2−5x+4=0 has roots α\alphaα and β\betaβ.Without solving this equation, form a quadratic equation with integer coefficients that has rootsα+12βandβ+12α\alpha+\dfrac1{2\beta}\qquad\text{and}\qquad\beta+\dfrac1{2\alpha}α+2β1andβ+2α1(7)▸ Mark scheme← 1.40: 4PM1/1/January/2018 — Question 91.41: 4PM1/2/January/2018 — Question 4 →