Question

16x^2-24x+k is a perfect square find the value of k

Answer 1

$\sf\huge\blue{\underline{\underline{ Solution : }}}$

★ Let,

• a = 16
• b = - 24
• c = k

★ Formula :

Discrimination = b² - 4ac

➡ (-24)² - 4(16)(k) = 0

➡ 576 - 64k = 0

➡ 64k = 576

➡ k = 576/64

➡ k = 9

$\underline{\boxed{\bf{\purple{ \therefore K = 9.}}}}\:\orange{\bigstar}$

★ Explore more :

◼ D < 0, no real roots.

◼ D = 0, 2 equal real roots.

◼ D > 0, distinct real roots.

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