Examine whether the following equation is qua | vedclass

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(A) To determine if the equation $16x^2 - 3 = (2x + 5)(5x - 3)$ is quadratic,we first expand the right side:$(2x + 5)(5x - 3) = 2x(5x) + 2x(-3) + 5(5x

Vedclass · Accepted Answer

Yes,it is a quadratic equation.

Vedclass · Answer

(A) To determine if the equation $16x^2 - 3 = (2x + 5)(5x - 3)$ is quadratic,we first expand the right side:$(2x + 5)(5x - 3) = 2x(5x) + 2x(-3) + 5(5x) + 5(-3)$$= 10x^2 - 6x + 25x - 15$$= 10x^2 + 19x - 15$Now,substitute this back into the original equation:$16x^2 - 3 = 10x^2 + 19x - 15$Rearrange all terms to one side to set the equation to $0$:$16x^2 - 10x^2 - 19x - 3 + 15 = 0$$6x^2 - 19x + 12 = 0$Since this equation is in the form $ax^2 + bx + c = 0$ where $a 
eq 0$,it is a quadratic equation.

Examine whether the following equation is quadratic or not: $16x^2 - 3 = (2x + 5)(5x - 3)$

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