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Q.

State if the given statement is true or false. “ $\frac{2}{3} x^{2} = 2 x + 9$ is a quadratic equation.”

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a

True

b

False

answer is A.

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Detailed Solution

It is given that,

\frac{2}{3} x^{2} = 2 x + 9

is a quadratic equation.”
We know that an algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.
We can observe that equation,

\frac{2}{3} x^{2} = 2 x + 9

has the highest power as 2.
Thus, the equation is quadratic.
Therefore, the given statement is true i.e., “

\frac{2}{3} x^{2} = 2 x + 9

is a quadratic equation.”
Hence, the correct option is 1.

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