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Check whether the following are quadratic equations: 2x^2-3{x}

Question

Check whether the following are quadratic equations:
$2 x^{2} - 3 x + 5 = 0$

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Luna Discussed

Check whether the following are quadratic equations:

2 x^{2} - 3 x + 5 = 0

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Text solutionVerified

Given,

2 x^{2} - 3 x + 5 = 0

\Rightarrow 2 x^{2} + 5 = 3 x

\Rightarrow (2 x^{2} + 5)^{2} = (3 x)^{2}

\Rightarrow 4 x^{4} + 20 x^{2} + 25 = 9 x

\Rightarrow 4 x^{2} + 20 x^{2} - 9 x + 25 = 0

∵

The highest power of x in the equation is 4;

∴

It is not a quadratic equation.

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Question Text	Check whether the following are quadratic equations: $2 x^{2} - 3 x + 5 = 0$
Answer Type	Text solution:1
Upvotes	150