Question

for what value of p the equation 2x^2+3px+1=0 has equal roots?​

Answer 1

Answer:

Since equation have equal roots

so discriminant = 0

${b}^{2} - 4ac = 0 \\ {(3p)}^{2} - 4(2)(1) = 0 \\ 9 {p}^{2} - 8 = 0 \\ 9 {p}^{2} = 8 \\ {p}^{2} = \frac{9}{8} \\ p = \frac{3}{2 \sqrt{2} } \: or \: - \frac{3}{2 \sqrt{2} }$

Answer 2

Step-by-step explanation:

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