MCQ
$x^2-6 x+6=0$ have
- AReal and Equal roots
- BReal roots
- CNo Real roots
- DReal and Distinct roots
✓
Answer
(D) Real and Distinct roots
Explanation: 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 $b^2-4 a c>0$, then the equation has real and distinct roots Hence Real and Distinct roots.
Explanation: 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 $b^2-4 a c>0$, then the equation has real and distinct roots Hence Real and Distinct roots.
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