Question

If the roots of 2x² - 6x + k = 0 are real and equal, find k.
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Answer 1

Answer:

k=4.5

Step-by-step explanation:

We know,

if the roots of the quadratic equation $ax^2+bx+c=0$ are equal then

$b^2-4ac =0$

Here, it is given that the roots of the equation $2x^2-6x+k=0$ are real and equal,

thus, by $b^2-4ac,$

$(-6)^2-4(2)(k)=0\\36-8k = 0\\k = \frac{36}{8}=4.5$