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Question

Which of the following is not a quadratic equation?

A
3x2+4x=0
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B
2x+5x2+2=0
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C
x+7x=4x(x0)
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D
13x+3x=4(x0)
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Solution

The correct option is C x+7x=4x(x0)
Consider the equation 3x2+4x=0
It can be rewritten as 3x2+4x+0=0, which is in the form of ax2+bx+c=0, where a0
3x2+4x=0 is a quadratic equation.
Now, consider the equation 2x+5x2+2=0
It can be rewritten as 5x22x+2=0, which is in the form of ax2+bx+c=0, where a0
2x+5x2+2=0 is a quadratic equation.
Now, consider the equation,
x+7x=4x(x0)
x+7x=4x
x+7=4x
3x7=0, which is not in the form of ax2+bx+c=0, where a0
x+7x=4x(x0) is not a quadratic equation.
Now, consider the equation,
13x+3x=4(x0)
1+9x23x=4
1+9x2=12x
9x212x+1=0, which is in the form of ax2+bx+c=0, where a0
13x+3x=4(x0) is a quadratic equation.
Hence, the correct answer is option (3).

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