Question

please give me the correct answer​

Answer 1

Answer:

k = -2

Choose brainliest if answer is correct

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

If product of the roots of $\sf{ {x}^{2} - 3x + k = 0 }$ is - 2 then k is

• - 2

• - 8

• 8

• None of these

EVALUATION

Here the given equation is

$\sf{ {x}^{2} - 3x + k = 0 }$

Comparing with the general equation

$\sf{a {x}^{2} + bx + c = 0}$

We get

a = 1 , b = - 3 , c = k

So product of the roots

$\displaystyle \sf{ = \frac{c}{a} }$

$\displaystyle \sf{ = \frac{k}{1} }$

$\displaystyle \sf{ =k}$

Again it is given that product of the roots = - 2

∴ k = - 2

FINAL ANSWER

Hence the correct option is - 2

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