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x^2-4x+3=0 determine the nature of the roots​

Sagot :

gufeliz1965

x^2 - 4x + 3 = 0

Factor the left side.

What two numbers when multiplied yield 3 but when added yield the middle coefficient -4?

How about -1 times -3?

Yes, (-1)(-3) is 3 but when added yield -4.

(x - 3)(x - 1) = 0

Set each factor to 0 and solve for x.

x - 3 = 0

x = 3

x - 1 = 0

x = 1

The word root is just another word for solution or the zero of a polynomial.

Answer: x = 1 or x = 3 are the roots.

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