MCQ
$x^2- 6x + 6 = 0$ have :
- AReal and Equal roots
- BReal roots
- ✓Real and Distinct roots
- DNo Real roots
✓
Answer
Correct option: C.
Real and Distinct roots
Comparing the given equation to the below equation
$ a x^2+b x+c=0 $
$a=1, b=-6, c=6$
$ D=b^2-4 a c $
$ D=(-6)^2-4 \times 1 \times 6 $
$D = 36 - 24$
$D = 12$
$D > 0.$
If $b^2- 4ac > 0$, then the equation has real and distinct roots
Real and Distinct roots.
$ a x^2+b x+c=0 $
$a=1, b=-6, c=6$
$ D=b^2-4 a c $
$ D=(-6)^2-4 \times 1 \times 6 $
$D = 36 - 24$
$D = 12$
$D > 0.$
If $b^2- 4ac > 0$, then the equation has real and distinct roots
Real and Distinct roots.
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