Question

find the positive value of P such that x² + 4x + p = 0 has equal roots​

Answer 1

equal root

$\alpha = \beta$

then

${ \alpha }^{2} = \frac{c}{a} = \sqrt{p}$

$2 \alpha = \frac{4}{1} \\ \\ \alpha = 2 \\ \\ now \: \\ \\ \alpha = \sqrt{p} \\ \\ 2 = \sqrt{p } \\ \\ p = {2}^{2} \\ \\ p = 4$

Answer 2

Answer:

root

a=b

then

a²= c/a= √p

2a= 4/1

a=2

now.

a=√p

2=√p

p=2²

p= 4.

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