## .Find the value of k for which the quadratic equation has equal roots 3x^2-5x+k=0

Question

.Find the value of k for which the quadratic equation has equal roots 3x^2-5x+k=0

in progress 0
2 months 2021-11-23T05:00:46+00:00 2 Answers 0 views 0

Step-by-step explanation:

HOPE IT HELPS

\large{k = \frac{25}{12} }k=

12

25

Step-by-step explanation:

\begin{gathered}\text{for \: }a {x}^{2} + bx + c = 0 \text{\: to \: have \: equal \: roots} \\ \\ {b}^{2} = 4ac \\ \\ \text{given} \quad \: 3 {x}^{2} – 5x + k = 0 \\ \\ = > a = 3 \quad \: b = – 5 \quad \: c = k \\ \\ = > {( – 5)}^{2} = 4(3)(k) \\ \\ = > 12k = 25 \\ \\ = > k = \frac{25}{12}\end{gathered}

for ax

2

+bx+c=0to have equal roots

b

2

=4ac

given3x

2

−5x+k=0

=>a=3b=−5c=k

=>(−5)

2

=4(3)(k)

=>12k=25

=>k=

12

25

hope it helps you mark brainliest

HOPE IT HELPS