Hi can any body solve this question? The equation 2x²-4x-3=0 has roots a and b. Find the quadratic equation with integer coefficients and with roots a³ , b³
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Hello, Using Viete, you know the values of a+b and ab. Since a^3+b^3=(a+b)^3-3ab(a+b), you know the values of p=a^3+b^3 and q=a^3b^3. The quadratic equation with roots a^3, b^3 is x^2-px+q=0. Arrange it so that it has integer coefficients. Bye.
Hello, djmccabie! The equation has roots and Find the quadratic equation with integer coefficients and with roots The given equation is: . with roots and Hence: . Cube [1]: . . . Hence: . Cube [2]: . Therefore, the equation is: .
Thanks alot soroban! really helped i had the right idea just got a few signs wrong
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