Find which of the following equations are quadratic:
$7 x^{3} - 2 x^{2} + 10 = (2 x - 5)^{2}$

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Find which of the following equations are quadratic:

7 x^{3} - 2 x^{2} + 10 = (2 x - 5)^{2}

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Text solutionVerified

7 x^{3} - 2 x^{2} + 10 = (2 x - 5)^{2}

\Rightarrow 7 x^{3} - 2 x^{2} + 10 = 4 x^{2} - 20 x + 25

\Rightarrow 7 x^{3} - 6 x^{2} + 20 x - 15 = 0;

which is not of the general form ax

^{2} + b x + c = 0

.
And it's a cubic equation.
Thus, the given equation is not a quadratic equation.

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Question Text	Find which of the following equations are quadratic: $7 x^{3} - 2 x^{2} + 10 = (2 x - 5)^{2}$
Answer Type	Text solution:1
Upvotes	150