Expert answers to "Find a nonzero p such that px^2-12x+4=0 has..."

Bairaxx

Answered question

2022-10-22

Find a nonzero p such that px^2-12x+4=0 has only one solution.

espava8b

Beginner2022-10-23Added 12 answers

p x^{2} - 12 x + 4 = 0

Discriminant

D = b^{2} - 4 a c

when discriminant is zero, we get me solution

p x^{2} - 12 x + 4 = 0 a = p b = - 12 c = 4 D = (- 12)^{2} - 4 \times p \times 4 = 0 \Rightarrow 144 - 16 p = 0 16 P = 144 P = \frac{144}{16} P = 9 p x^{2} - 12 x + 4 = 0 become 9 x^{2} - 12 + 4 = 0

the solution is

x = \frac{2}{3}

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