Question

Write a quadratic equation having the given numbers as solutions.

-5 and -2

The quadratic equation is: __=0

Thank you.

Answer 1

a x ^ 2 + b x + c = a ( x - x1 ) ( x - x2 )


a leading coefficient

x1 and x2 roots


In this case :

x 1 = - 5

x 2 = -

a [ x - ( - 5 ) ] * [ x - ( - 2 ) ] =

a ( x + 5 ) * ( x + 2 ) =

a ( x * x + x * 5 + 2 * x + 2 * 5 ) =

a ( x ^ 2 + 5 x + 2 x + 10 ) =

a ( x ^ 2 + 7 x + 10 )



a ( x ^ 2 + 7 x + 10 ) = 0 Divide both sides by a

x ^ 2 + 7 x + 10 = 0 / a

x ^ 2 + 7 x + 10 = 0