Question

What is answer for x2-5x+6=0

Answer 1

`\pmb{x^(2) - 5x + 6 = 0} \\ \\ \Delta = b^(2)-4ac \\ \\ \Delta = (-5)^(2) - 4 \cdot 1 \cdot 6 = 25 - 24 = 1 \\ \\ √(\Delta) = 1 \\ \\ \boxed{x_(1) = (-b- √(\Delta) )/(2a) = (5 - 1)/(2 \cdot 1) = (4)/(2) = 2 }\\ \\ \boxed{x_(2) = (-b + √(\Delta) )/(2a) = (5+1)/(2\cdot 1 ) = (6)/(2) = 3}`

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`\pmb{x^(2) - 5x + 6 = 0} \\ \\ x^(2) - 3x - 2x + 6 = 0 \\ \\ x(x-3) - 2(x-3) = 0 \\ \\ (x-3)(x-2) = 0 \\ \\ x-3=0 \ \vee \ x-2 = 0 \\ \\ x=3 \ \vee \ x = 2 \\ \\ \boxed{x \in \lbrace 2, 3 \rbrace}`

Answer 2

If you would like to solve the equation x^2 - 5 * x + 6 = 0, you can calculate this using the following steps:

x^2 - 5 * x + 6 = 0
(x - 3) * (x - 2) = 0
1. x = 3
2. x = 2

Result: Two solutions: x = 3 and x = 2.