Question

Find the equation of the given roots 2 and -5​

Answer 1

This means the equation will look like

y= (x-2)(x+5)
Now you just foil
y= x^2 +3x -10

Answer 2

Equation is x² + 3x - 10

Explanation:

Sum of roots:

`{ \sf{ = ( - 5 + 2)}} \\ { \sf{ = - 3}}`

Product of roots:

`{ \sf{ = ( - 5 * 2)}} \\ = { \sf{ - 10}}`

General equation:

`{ \boxed{ \bf{a {x}^(2) - (sum \: of \: roots)x + (product) }}} \\ ={ \sf{ {x}^(2) + 3x - 10 }}`