Consider the quadratic equation ( 3 2 x^ 2 - 7 4 x+ 1 8 =0 )

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Consider the quadratic equation 32x2−74x+18=0\dfrac{3}{2}x^{2}-\dfrac{7}{4}x+\dfrac{1}{8}=0. (i) Find both roots of the equation, leaving your answers in simplest fractional form. (ii) Verify that the sum and product of the roots satisfy the relationships −ba-\dfrac{b}{a} and ca\dfrac{c}{a} respectively for this equation.

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