What are the quadratic equations for x=-14

Question

asked Jan 3, 2021 161k views

1 Answer

Neeraj Shukla · Answer 1 · 2021-01-10T09:24:09+0000

Answer:

x^(2) +14x=0

Explanation:

Given:

Given root is

$x=-14,\ 0$

Now we need to find the quadratic equation for given roots.

Solution:

The given roots are -14 and 0.

So, the sum of the roots.

$\alpha +\beta = -14 + 0$

$\alpha +\beta = -14$

Product of the given roots

$\alpha* \beta = -14* 0$

$\alpha* \beta = 0$

Therefore, the required quadratic equation is.

$x^(2) -(\alpha +\beta )x+\alpha* \beta=0$ -------------------(1)

Now we substitute
$(\alpha +\beta )$ and
$(\alpha* \beta)$ in equation 1.

x^(2) -(-14)x+0=0

x^(2) +14x=0

Therefore, the quadratic equation for the given root is.
x^(2) +14x=0