5 uponx- 3 = x square is a quadratic equation
Answers
Step-by-step explanation:
(i)
3
x
2
−2x+3/5=0
Yes, the given equation is a quadratic equation since it is of degree 2 and a
=0
(ii) (2x+1)(3x−2)=6(x+1)(x−2)
On solving the given expression,
⇒6x
2
−4x+3x−2=6(x
2
−2x+x−2)
⇒6x
2
−x−2=6x
2
−12x+6x−12
⇒12x−6x−x=−12+2
⇒5x=−10
∴ The given expression is not a quadratic equation.
(iii) (x−3)
3
+5=x
3
+7x
2
−1
On solving the given expression,
⇒x
3
−3x
2
(3)+3x(9)−27+5=x
3
+7x
2
−1
⇒−9x
2
+27x−22−7x
2
+1=0
⇒−16x
2
+27x−21=0
⇒16x
2
−27x+21=0
∴ The given expression is a quadratic equation.
(iv) x−
x
3
=2,x
=0
On solving the given expression,
⇒x
2
−3=2x
⇒x
2
−2x−3=0
∴ The given expression is a quadratic equation.
(v) x+
x
2
=x
2
,x
=0
On solving the given expression,
⇒x
2
+2=x
3
⇒x
3
−x
2
−2=0
∴ The given expression is not a quadratic equation.
(vi) x
2
+
x
2
1
=3,x
=0
On solving the given expression,
⇒x
4
+1=3x
2
⇒x
4
−3x
2
+1=0
∴ The given expression is not a quadratic equation.