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do you agree that quadratic equation has most two solutions? justify your answer and give example

Sagot :

Seullidn
Yes, I agree that Quadratic Equation has two roots. It's justified by its meaning. Quadratic Equation is an equation of the second degree in its variable or variables. As a student also, I remember that you determine the number of roots by its degree. It can be solve by Factoring or using Quadratic formula.
Ex. By factoring

Given: x^2-x-6=0
Solution:
x^2-x-6=0
since, x^2-x-6= (x-3)(x+2)
x^2-x-6=0
(x-3) (x+2)=0

Setting each linear factor to zero, we get

x-3=0
x=3

x+2=0
x=-2

Hence the roots are,

x=3 and x=-2