Question

if quadratic equation 3x2-4x+k=0 has equal roots, than the value of k is in one marks question
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Answer 1

Answer:

Given, discriminant=0

b²-4ac=0

16-4×3×k =0

-12k=-16

k=4/3

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Answer 2

GivEn:-

• 3x² - 4x + k = 0 is the given quadratic equation.

• The giVen equation has equal roots.

To find:-

• Value of k

SoluTion:-

As we know that,

$:\implies$ Discriminant, D = b² - 4ac

$:\implies$ (-4)² - 4 × 3 × k

$:\implies$ 16 - 12k

★ If the givEn equation has equal roots then,

$\therefore$ D = 0

$:\implies$ 16 - 12k = 0

$:\implies$ 16 = 12k

$:\implies\sf k = \cancel{ \dfrac{16}{12}}$

$:\implies\bf \red{k = \dfrac{4}{3}}$

$\dag$ Hence, The value of k is $\sf \blue{ \dfrac{4}{3}}.$

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