Question

14. If the quadratic equation x2 – 3x + k-0 has equal roots, then what is the value of K?
(a)
$\frac{ - 4}{9}$
(b)
$\frac{ - 9}{4}$
(c)
$\frac{9}{4}$
(b)
$\frac{ - 4}{9}$
​

Answer 1

$\red{ \sf \implies {b}^{2} - 4ac = 0 \quad \quad \quad \bigg[ \because \: D=0\bigg] }$

$\purple{ \sf \implies { (- 3)}^{2} - 4 \times 1 \times (- k) = 0}$

$\orange{ \sf \implies9 + 4k = 0}$

$\blue{ \sf \implies4k = - 9}$

$\red{\boxed{\boxed{ \boxed{ \boxed{\pink{ \tt \implies \: k = - \frac{9}{4} }}}}}}$

hope it help you dear

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