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Rasek [7]
2 years ago
14

use the discrminant to determine all values of k which would result in the equation -3x^2-6x+k=0 having real,unequal roots.​ mus

t be right ty helppp asap
Mathematics
1 answer:
boyakko [2]2 years ago
7 0

Answer:

k>-3

Step-by-step explanation:

We have the equation:

-3x^2-6x+k=0

Where <em>a </em>= -3, <em>b</em> = -6, and <em>c</em> = <em>k.</em>

And we want to determine values of <em>k</em> such that the equation will have real, unequal roots.

In order for a quadratic equation to have real, unequal roots, the discriminant must be a real number greater than 0. Therefore:

b^2-4ac>0

Substitute:

(-6)^2-4(-3)(k)>0

Simplify:

36+12k>0

Solve for <em>k: </em>

<em />12k > -36<em />

<em />k>-3<em />

So, for all <em>k</em> greater than -3, our quadratic equation will have two real, unequal roots.

Notes:

If <em>k </em>is equal to -3, then we have two equal roots.

And if <em>k</em> is less than -3, then we have two complex roots.

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