For which values of p does the following equation has equal roots?
2x²-px+8=0
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In ax² + bx + c = 0,
Discriminant D =b² −4ac,
D = 0, for the roots to be real and equal
In 2x² - px + 8 = 0
Thus, we have a=2,b=(-p) and c=8
Then D =b² − 4ac=0
∴ (-p)² − 4×2×8 = 0
⇒p² − 64 = 0
⇒p = ±8.
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