Question

Determine the nature of the roots of the equation:

$x^2-8x+12=0$

• A. Real and unequal
• B. Real and equal
• C. Imaginary
• D. None of these

Answer 1

The correct option is A Real and unequal

$\Rightarrow$ $x^2-8x+12=0$

$\Rightarrow$ $x^2-6x-2x+12=0$

$\Rightarrow$ $x(x-6)-2(x-6)=0$

$\Rightarrow$ $(x-6)(x-2)=0$

$\therefore$ $x=6$ and $x=2$

$\therefore$ The nature of the roots of the equation $x^2-8x+12=0$ are $realandunequal$