Question

check whether the following are quadratic equations or not (x-2)(x+3)=(2x-1)(x+4)​

Answer 1

${\huge{\sf{\green{\underline{\underline{Solution}}}}}}$

(x-2) (x+3) = (2x-1) (x+4)

$x{^2}+3x-2x-6\:=\:2x{^2}+8x-x-4$

$x{^2}+x-6\:=\:2x{^2}+7x-4$

$x{^2}-2x{^2}+x-7x-6+4=0$

$-x{^2}-6x-2=0$

Yes, it's a quadratic equation.

Answer 2

Step-by-step explanation:

$(x + 2)(x + 3) \: \: is \: \: equal \: to \: (2x - 1)(x + 4)$

${x}^{2} + \: 3x + 2x + 6 \: \: is \: equal \: to \: {2x}^{2} + 8x - x - 4$

${x}^{2} + 5x + 6 \: \: is \: equal \: to \: { {2x}^{2} - 7x - 4}$

${x}^{2} - {2x}^{2} + 5x + 7x + 6 + 4$

${ - 2x}^{2} + 12x + 10$

${2x}^{2} - 12x - 10$

HENCE This is the form of

${ax}^{2} - bx - c$

where a,b are numericals and c is an constant

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