if a and b are roots of the equations3x^+5x-7=0 then ab is equal to
Answers
Answered by
0
Answer:
ab=-7/3
Step-by-step explanation:
product of roots=c/a
=-7/3
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Answered by
0
Answer:
Quadratic equation : 3x² + 4x - 7 = 0
Sum of roots = - 4/3
Product of roots = - 7/3
Since α, β are roots,
α + β = - 4/3
αβ = - 7/3
\begin{gathered}\implies \frac{1}{ \alpha } + \frac{1}{ \beta } \\ \\ \implies \: \frac{ \alpha + \beta }{ \alpha \beta } \\ \\ \implies \: \frac{ \frac{ - 4}{3} }{ \frac{ - 7}{3} } \\ \\ \implies \frac{4}{7}\end{gathered}
⟹
α
1
+
β
1
⟹
αβ
α+β
⟹
3
−7
3
−4
⟹
7
4
Therefore,
\frac{1}{ \alpha } + \frac{1}{ \beta } = \frac{4}{7}
α
1
+
β
1
=
7
4
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