An algebra problem by Edward Widjaja

Algebra Level 3

3 4 x 2 − ( 2 p + 1 ) x + p 2 + 2 = 0 \dfrac34 x^2 - (2p+1)x + p^2 +2 = 0

What is minimum positive value of p p so that the quadratic polynomial above has real roots?

1 -5 5 -1

Edward Widjaja by Edward Widjaja , 32, Indonesia

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1 solution

Edward Widjaja
Jan 6, 2016

the polynomial has two real roots which means D > 0 and

Therefore,

Because we only need the positive p which means the answer is

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