CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Question 1
Which of the following is a quadratic equation?
(a)
x2+2x+1=(4x)2+3
(b) 2x2=(5x)(2x25)
(c) (k+1)x2+32 x=7, where k=1​​​​​​​
(d) x3x2=(x1)3​​​​​​​

Open in App
Solution

a) Given that. x2+2x+1=(4x)2+3
x2+2x+1=16+x28x+3
10x18=0
Which is not of the form ax2 + bx + c a 0. Thus the equation is not a quadratic equation.
b) Given that. 2x2=(5x)(2x25)
2x2=10x2x22+2x5
50x+2x10=0
52x10=0
Which is also not a quadratic equation
c) Given that. (k+1)x2+32 x=7, where k=1
k=1
x2(1+1)32+x=7
3x14=0
Which is also not a quadratic equation.
d) Given that. x3x2=(x1)3
x3x2=x33x2(1)+3x(1)2(1)3
[(ab)3=a3b3+3ab23a2b]
x3+3x23x+1=0
2x23x+1=0
Which represents a quadratic equation because it has the quadratic form
ax2+bx+c=a0

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Nature of Roots
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon