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Question
Choose the correct answer for the following question.
Out of the following equations which one is not a quadratic equation?
Options
`x^2 + 4x = 11 + x^2`
`x^2 = 4x`
`5x^2 = 90`
`2x - x^2 = x^2 + 5`
Solution
x2 + 4x = 11 + x2
Explanation:
- x2 + 4x = 11 + x2
`\implies` 4x = 11
Thus, x2 + 4x = 11 + x2 is not a quadratic equation. - x2 = 4x can be written as x2 – 4x + 0 = 0
So, x2 – 4x is a quadratic equation. - 5x2 = 90 can be written as 5x2 – 90 + 0 = 0
So, 5x2 – 90 + 0 is a quadratic equation. - 2x – x2 = x2 + 5 can be written as 2x2 – 2x + 5 = 0.
So, it also forms a quadratic equation.
Hence, the correct answer is x2 + 4x = 11 + x2.
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