Find which of the following equations are quadratic: 7 x^{3}-2 x^{ | Filo

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Class 10 Math All topics Quadratic Equations

Find which of the following equations are quadratic:

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

Solution:

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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Similar topics

functions

introduction to trigonometry

some applications of trigonometry

quadratic equations

arithmetic progressions

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functions

introduction to trigonometry

some applications of trigonometry

quadratic equations

arithmetic progressions

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x + \frac{1}{x} + x^{2}, x \neq = 0

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Copyright FILO EDTECH PVT. LTD. 2021