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Sagot :
Answer:
[tex]p_{1} = -\frac{4}{7}[/tex], [tex]p_{2} = 6[/tex]
Step-by-step explanation:
[tex]7p^{2} - 38p - 24 = 0[/tex]
[tex](7p + 4) (p - 6) = 0[/tex]
[tex]7p + 4 = 0[/tex]
[tex]p_{1} = -\frac{4}{7}[/tex]
[tex]p - 6 = 0[/tex]
[tex]p_{2} = 6[/tex]
Answer:
[tex]p = 6 \: \: or \: \: p = - \frac{4}{7} [/tex]
Step-by-step explanation:
7p^2-38p-24=0
[tex]7p ^{2} - 38p - 24 = 0[/tex]
[tex]7 {p}^{2} - 38p = 0 + 24[/tex]
[tex]7 {p}^{2} - 38p = 24[/tex]
7p^2-38p-24=0
[tex]7p {}^{2} - 42p + 4p - 24 = 0 [/tex]
[tex]7p(p - 6) + 4(p - 6) = 0[/tex]
[tex](p - 6)(7p + 4) = 0[/tex]
[tex]p - 6 = 0 \: \: \: or \: \: 7p + 4 = 0 [/tex]
[tex]p = 6 \: \: or \: \: p = - \frac{4}{7} [/tex]
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