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March 26, 2017

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Determine for what value(s) of d the quadratic equation 5x^2-10x+d = 0 has
i) real and distinct roots
ii)real and equal roots
iii)non-real roots

This is what I did to solve for A.

5x^2-10x+d = 0
b^2-4ac = 0
(-10)^2-4(5)(d) = 0
100-20d = 0
-20d = -100
d = 5

Need help with others.

  • Math - ,

    Close. Actually, you solved for (ii).

    i) D > 0
    100 - 20d > 0
    d < 5

    ii) D=0
    100-20d = 0
    d = 5

    iii) D < 0
    100-20d < 0
    d > 5

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