Question

if a and b are roots of the equations3x^+5x-7=0 then ab is equal to​

Answer 1

Answer:

ab=-7/3

Step-by-step explanation:

product of roots=c/a

                         =-7/3

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Answer 2

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