Class 10 Maths1)The quadratic equation has degree
2
A quadratic equation has degree 2.
Class 10 Maths2)The cubic equation has degree
3
A cubic equation has degree 3.
Class 10 Maths3)A bi-quadratic equation has degree
4
A bi-quadratic equation has degree 4.
Class 10 Maths4)The roots of the quadratic equation 6x² – x – 2 = 0 are
\({2 \over 3 } , {-1 \over 2 }\)
Class 10 Maths5)The sum of the roots of the quadratic equation \( 3×^2 – 9x + 5 = 0 \ \ is\)
-3
Here a = 3, b = -9, c = 5
∴ Sum of the roots = \({−b \over a}= {−(−9) \over 3}=3\)
Class 10 Maths6)If a, p are the roots of the equation (x – a) (x – b) + c = 0, then the roots of the equation (x – a) (x – P) = c are
a,b
Explaination:Reason: By given condition, (x – a) (x – b) + c = (x – α) (x – β)
⇒ (x – α) (x – β) – c = (x – a) (x – b)
This shows that roots of (x – α) (x – β) – c are a and b