MathematicsSolving for x in x2-5x+6=0

Solving for x in $x^{2} - 5 x + 6 = 0$

A
$x = - 3 or x = - 2$
B
$x = 3 or x = 2$
C
$x = - 1 or x = - 4$
D
$x = 6 or x = 5$

Solution:

x^{2} - 5 x + 6 = 0

Here, we can factor the equation first before determining the answer:
Factorizing through middle-term splitting

x^{2} - 2 x - 3 x + 6 = 0

(x - 2) (x - 3) = 0

Calculating the results by multiplying the two factors by zero:

\Rightarrow x - 2 = 0, x = 2

\Rightarrow x - 3 = 0, x = 3

\Rightarrow x = 3 or x = 2

Related content

Area of Square

Area of Isosceles Triangle

Pythagoras Theorem

Triangle Formula

Perimeter of Triangle Formula

Area Formulae

Volume of Cone Formula

Matrices and Determinants_mathematics

Critical Points Solved Examples

Type of relations_mathematics