The value of p for which 4x² -2 px +7=0 has real roots is
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4x + px + 3 = 0
a= 4, b = p, c = 3
As the equation has equal roots,
b² - 4ac =0
P² - 4 × 4 × 3
= 0p² - 4
= 0p² = 48p = √48p = 4√3
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