Schneider Brooks
09/03/2024 · High School
2-1. Given that \( a \) and \( B(a>B) \) are the roots of the quadratic equation \( 2 x^{2}+7 x+4=0 \). Find a) the value of \( a-B \). b) the value of \( a^{3}+B^{3} \). c) a quadratic equation, with integer coefficients, which has roots \( \frac{a^{2}}{B} \) and \( \frac{\sigma^{2}}{a} \).
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a) \( a - B = \frac{\sqrt{17}}{2} \)
b) \( a^3 + B^3 = -\frac{175}{8} \)
c) The quadratic equation is \( 16x^2 + 175x + 32 = 0 \)
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