Which of the following are quadratic equations?
$16x^2\ –\ 3\ =\ (2x\ +\ 5)(5x\ –\ 3)$

Given:

Given equation is $16x^2\ –\ 3\ =\ (2x\ +\ 5)(5x\ –\ 3)$.

To do:

We have to check whether the given equation is quadratic.

Solution:

The standard form of a quadratic equation is $ax^2+bx+c=0$.

($16x^2\ –\ 3\ =\ (2x\ +\ 5)(5x\ –\ 3)$

$16x^2-3=10x^2-6x+25x-15$

$(16-10)x^2+(6-25)x+(-3+15)=0$

$6x^2-19x+12=0$

$6x^2-19x+12=0$ is of the form $ax^2+bx+c=0$ where $a=6, b=-19$ and $c=12$.

Therefore, $16x^2\ –\ 3\ =\ (2x\ +\ 5)(5x\ –\ 3)$ is a quadratic equation.

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Updated on: 10-Oct-2022

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