if the roots of a quadratic equation are 4 and -5 form the quadratic equation​

2 thoughts on “if the roots of a quadratic equation are 4 and -5 form the quadratic equation​”

1. Answer:

   x² – x – 20

   Step-by-step explanation:

   We know form of Quadratic equation as

   x² – (å+ñ)x + åñ If å and ñ ane roots of the equation

   Given that å = 4 and ñ = -5

   so Sum of roots is 4-5 = -1

   And Product of roots is (4)(-5) = -20

   So equation formed is

   x² + x -20

   We can also find it in an another way. i.e.

   If 4 and -5 are roots of equation then

   (x-4) and (x+5) are factors of equation

   So equation formed will be

   p(x) = (x-4)(x+5)

   = x(x +5) – 4(x + 5)

   = x² + 5x – 4x – 20

   = x² + x – 20

   Reply

2. Answer:

   [tex] = {x}^{2} – (sum \: of \: zeroes)x + (product \: of \: zeroes) \\= {x}^{2} – (4 – 5)x + (4 \times – 5) \\= {x}^{2} + x – 20[/tex]

   Reply