Question

find the value of k if 9x2 -k +4 =0 has equal roots​

Answer 1

Answer:

k^2  =  4x9x4

k = √144

k = ±12

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Answer 2

Question:

$Find \: the \: value \: of \: k \: if \: 9 {x}^{2} - k + 4 = 0 \: has \: equal \: roots.$

Answer:

$The \: value \: of \: \boxed{k \: is \: ±12}$

Step-by-step explanation:

$9 {x}^{2} - k + 4 = 0$

Given, the roots are real and equal.

∆ = 0.

$∆ = {b}^{2} - 4ac$

${b}^{2} - 4ac = 0$

$a = 9, \: b = - k, \: c = 4$

${( - k)}^{2} - 4(9)(4) = 0$

${k}^{2} - 144 = 0$

${k}^{2} = 144$

$\boxed{k = ±12}$

Note:

∆ or discriminant = b² - 4ac .

It decides the nature of the roots.