Question

root of equation X square - 5 x + 6 is equal to zero​

Answer 1

Answer:

The roots of the equation are 2 and 3.

Step-by-step explanation:

The equation is: x² - 5x + 6 = 0.

Solve by factorizing as follows:

$x^{2}-5x+6=0\\x^{2}-3x-2x+6=0\\x(x-3)-2(x-3)=0\\(x-2)(x-3)=0$

If (x - 2) = 0, the value of x is 2.

If (x - 3) = 0, the value of x is 3.

Thus, the roots of the equation are 2 and 3.

Answer 2

Answer:

Consider the equation x2−5x+6=0. By factorising I get (x−3)(x−2)=0. Which means it represents a pair of straight lines, namely x−2=0 and x−3=0, but when I plot x2−5x+6=0, I get a parabola, not a pair of straight lines. Why?

Plotting: x^2 - 5x + 6 = 0