Is $3 x 2 − 5 x + 9 = x 2 − 7 x + 3$ a quadratic equation?

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Yes

Can’t determined

Insufficient data

answer is A.

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Detailed Solution

Given,

3 x 2 − 5 x + 9 = x 2 − 7 x + 3 ⇒ 3 x 2 − x 2 − 5 x + 7 x + 9 − 3 = 0 ⇒ 2 x 2 + 2 x + 6 = 0 ⇒ x 2 + x + 3 = 0

A quadratic equation is any equation where x represents an unknown and also that can be rearranged in standard form as

a x 2 + b x + c = 0

.
For being a quadratic equation, it has to be a quadratic polynomial. Hence, the highest power of x needs to be 2.
Once the equation is quadratic polynomial it automatically becomes quadratic equation. Thus, the given equation has the property of quadratic polynomial.
Yes, the given equation is quadratic equation.
Hence, the correct option is 1.

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