Is the following equation a quadratic equation?
$16 x^{2} - 3 = (2 x + 5) (5 x - 3)$

Yes

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Ambiguous

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Data insufficient

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Solution

The correct option is A Yes
$16 x^{2} - 3 = (2 x + 5) (5 x - 3)$
$16 x^{2} - 3 = 10 x^{2} - 6 x + 25 x - 15$
$6 x^{2} - 3 = 19 x - 15$
$6 x^{2} - 19 x + 12 = 0$
$\to a x^{2} + b x + c = 0$
Hence its a quadratic equation.

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Similar questions

The following equation is a qudratic equation.

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

Consider the quadratic polynomial $16 x^{2} - 50 x + 25$ . Which of the following quadratic equations will have roots equal to the zeros of the given quadratic polynomial?

(i) $16 x^{2} - 50 x = 0$

(ii) $4 (2 x - 3)^{2} - (2 x - 3) - 14 = 0$

(iii) $16 x^{2} - 50 x + 81 = 25 + 2 x$

Q. Check whether the following is a quadratic equation :

(x - 2)^{2} + 1 = 2 x - 3

Q. Check whether the following is quadratic equation.

(x + 1)^{2} = 2 (x - 3)

Q. Solve the following Quadratic Equation:

x^{2} - \frac{5}{2} x - 3 = 0

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Is the following equation a quadratic equation?16x2−3=(2x+5)(5x−3)

The correct option is A Yes16x2−3=(2x+5)(5x−3)16x2−3=10x2−6x+25x−156x2−3=19x−156x2−19x+12=0→ax2+bx+c=0Hence its a quadratic equation.

Is the following equation a quadratic equation?
$16 x^{2} - 3 = (2 x + 5) (5 x - 3)$

The correct option is A Yes
$16 x^{2} - 3 = (2 x + 5) (5 x - 3)$
$16 x^{2} - 3 = 10 x^{2} - 6 x + 25 x - 15$
$6 x^{2} - 3 = 19 x - 15$
$6 x^{2} - 19 x + 12 = 0$
$\to a x^{2} + b x + c = 0$
Hence its a quadratic equation.