Question

The values of k,for which the quadratic equation 4x+4*3x+k+0 has equal roots is __

Answer 1

the roots are equal,

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

144-16k=0

16k=144

$k = \frac{144}{16}$

$k = 9$

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Answer 2

Correct Question :-----

• Find the value of k for which the quadratic Equation 4x² + 12x + k = 0 has equal roots .

Formula used :-----

• when roots of Quadratic Equation ax²+bx+c = 0 are equal than D = (b²-4ac) is equal to zero .

Here,

4x² + 12x + k = ax²+bx+c

a = 4, b = 12 , c = k

putting values we get,

(12)² - 4 ×4 × k = 0

→ 144 - 16k = 0

→ 16k = 144

→ k = 144/16 = 9

So, value of k = 9 will satisfy the equation ...

4x²+3x+9 has equal root ..

(Hope it helps you)