Question

if x=1/2 is a solution of quadratic equation 3x²+kx-3=0 find the value of k. ​

Answer 1

Solution :

The given quadratic equation is :

> 3x² + kx - 3 = 0

One of the roots is 1/2.

Let the other root be x .

Sum of roots :

½ + x = -b/a = -k/3

Product of roots :

> ½x = -3/3 = -1

> x = -2 .

The other root is -2 .

-k/3 = ½ - 2

> -k/3 = -3/2

> k = 9/2 = 4.5

Answer : The value of k is 4.5

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Answer 2

Step-by-step explanation:

$\large\underline{\underline\bold\red{Question :- }}$

lf x=1 / 2 is a solution of quadratic equation

3x² + kx - 3 = 0, Then find the value of k.

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$\large\underline{\underline\bold\red{Answer→}}$

$\large\bigstar\bold{ \:lt \: is \: given \: that \: x = - \frac{1}{2} \: is \: the \: solution \: of \: the \:quadratic \: equation \: 3 {x}^{2} + 2kx - 3 = 0 } \\ \large\bold{➡ \: 3( - \frac{1}{2}) {}^{2} + 2k( - \frac{1}{2} ) - 3 = 0 } \\ \large \bold{➡ \: \frac{3}{4} - k - 3 = 0 } \\ \large \bold{➡ \: k = \frac{3}{4} - 3 = - \frac{9}{4} }$

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$\large\green{ \fcolorbox{gray}{black} {\textbf{Hence, Verified \: ☑}}}$

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$\large\colorbox{pink}{Hope lt'z Help You ❥ }$