Question

If one root of the equation 2x2+kx+4=0 is 4 then other root is

Answer 1

Here is the solution of your problem...

Answer 2

The other root(β) is $\dfrac{1}{2}.$

Step-by-step explanation:

Let two roots of the quadratic equation = α and β

α = 4(given)

The given quadratic equation:

$2x^2+kx+4=0$

Here, a = 2, b = k and c = 4

To find, the value of other root = ?

We know that,

The product of the roots,

α.β = $\dfrac{c}{a}$

⇒ 4.β = $\dfrac{4}{2}$

⇒ 4.β = 2

⇒ β $=\dfrac{2}{4}$

⇒ β $=\dfrac{1}{2}$

The other root(β) $=\dfrac{1}{2}$

Hence, the other root(β) is $\dfrac{1}{2}$.